Non-perturbative test of the Witten-Veneziano formula from lattice QCD

Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice...
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Autor*in:	Cichy, Krzysztof [verfasserIn] Garcia-Ramos, Elena Jansen, Karl Ottnad, Konstantin Urbach, Carsten

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	Lattice QCD Lattice Gauge Field Theories 1/N Expansion QCD

Anmerkung:	© The Author(s) 2015

Übergeordnetes Werk:	Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2015(2015), 9 vom: 03. Sept.
Übergeordnetes Werk:	volume:2015 ; year:2015 ; number:9 ; day:03 ; month:09

Links:	Volltext

DOI / URN:	10.1007/JHEP09(2015)020

Katalog-ID:	SPR030494877

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allfields	10.1007/JHEP09(2015)020 doi (DE-627)SPR030494877 (SPR)JHEP09(2015)020-e DE-627 ger DE-627 rakwb eng Cichy, Krzysztof verfasserin aut Non-perturbative test of the Witten-Veneziano formula from lattice QCD 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. Lattice QCD (dpeaa)DE-He213 Lattice Gauge Field Theories (dpeaa)DE-He213 1/N Expansion (dpeaa)DE-He213 QCD (dpeaa)DE-He213 Garcia-Ramos, Elena aut Jansen, Karl aut Ottnad, Konstantin aut Urbach, Carsten aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 9 vom: 03. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:9 day:03 month:09 https://dx.doi.org/10.1007/JHEP09(2015)020 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 9 03 09
spelling	10.1007/JHEP09(2015)020 doi (DE-627)SPR030494877 (SPR)JHEP09(2015)020-e DE-627 ger DE-627 rakwb eng Cichy, Krzysztof verfasserin aut Non-perturbative test of the Witten-Veneziano formula from lattice QCD 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. Lattice QCD (dpeaa)DE-He213 Lattice Gauge Field Theories (dpeaa)DE-He213 1/N Expansion (dpeaa)DE-He213 QCD (dpeaa)DE-He213 Garcia-Ramos, Elena aut Jansen, Karl aut Ottnad, Konstantin aut Urbach, Carsten aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 9 vom: 03. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:9 day:03 month:09 https://dx.doi.org/10.1007/JHEP09(2015)020 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 9 03 09
allfields_unstemmed	10.1007/JHEP09(2015)020 doi (DE-627)SPR030494877 (SPR)JHEP09(2015)020-e DE-627 ger DE-627 rakwb eng Cichy, Krzysztof verfasserin aut Non-perturbative test of the Witten-Veneziano formula from lattice QCD 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. Lattice QCD (dpeaa)DE-He213 Lattice Gauge Field Theories (dpeaa)DE-He213 1/N Expansion (dpeaa)DE-He213 QCD (dpeaa)DE-He213 Garcia-Ramos, Elena aut Jansen, Karl aut Ottnad, Konstantin aut Urbach, Carsten aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 9 vom: 03. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:9 day:03 month:09 https://dx.doi.org/10.1007/JHEP09(2015)020 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 9 03 09
allfieldsGer	10.1007/JHEP09(2015)020 doi (DE-627)SPR030494877 (SPR)JHEP09(2015)020-e DE-627 ger DE-627 rakwb eng Cichy, Krzysztof verfasserin aut Non-perturbative test of the Witten-Veneziano formula from lattice QCD 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. Lattice QCD (dpeaa)DE-He213 Lattice Gauge Field Theories (dpeaa)DE-He213 1/N Expansion (dpeaa)DE-He213 QCD (dpeaa)DE-He213 Garcia-Ramos, Elena aut Jansen, Karl aut Ottnad, Konstantin aut Urbach, Carsten aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 9 vom: 03. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:9 day:03 month:09 https://dx.doi.org/10.1007/JHEP09(2015)020 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 9 03 09
allfieldsSound	10.1007/JHEP09(2015)020 doi (DE-627)SPR030494877 (SPR)JHEP09(2015)020-e DE-627 ger DE-627 rakwb eng Cichy, Krzysztof verfasserin aut Non-perturbative test of the Witten-Veneziano formula from lattice QCD 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2015 Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. Lattice QCD (dpeaa)DE-He213 Lattice Gauge Field Theories (dpeaa)DE-He213 1/N Expansion (dpeaa)DE-He213 QCD (dpeaa)DE-He213 Garcia-Ramos, Elena aut Jansen, Karl aut Ottnad, Konstantin aut Urbach, Carsten aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2015(2015), 9 vom: 03. Sept. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2015 year:2015 number:9 day:03 month:09 https://dx.doi.org/10.1007/JHEP09(2015)020 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2015 2015 9 03 09
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author	Cichy, Krzysztof
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topic_title	Non-perturbative test of the Witten-Veneziano formula from lattice QCD Lattice QCD (dpeaa)DE-He213 Lattice Gauge Field Theories (dpeaa)DE-He213 1/N Expansion (dpeaa)DE-He213 QCD (dpeaa)DE-He213
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title	Non-perturbative test of the Witten-Veneziano formula from lattice QCD
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title_sort	non-perturbative test of the witten-veneziano formula from lattice qcd
title_auth	Non-perturbative test of the Witten-Veneziano formula from lattice QCD
abstract	Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. © The Author(s) 2015
abstractGer	Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. © The Author(s) 2015
abstract_unstemmed	Abstract We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure Yang-Mills theory. The other side we determine in lattice QCD with Nf = 2 + 1 + 1 dynamical Wilson twisted mass fermions including for the first time also the flavour singlet decay constant. The Witten-Veneziano formula represents a leading order expression in the framework of chiral perturbation theory and we also employ leading order chiral perturbation theory to relate the flavor singlet decay constant to the relevant decay constant parameters in the quark flavor basis and flavor non-singlet decay constants. After taking the continuum and the SU(2) chiral limits we compare both sides and find good agreement within uncertainties. © The Author(s) 2015
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title_short	Non-perturbative test of the Witten-Veneziano formula from lattice QCD
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