Induced QCD II: numerical results

Abstract We numerically explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c ). This discretization can be reformulated such that the self-interactions of the gauge field...
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Autor*in:	Bastian B. Brandt [verfasserIn] Robert Lohmayer [verfasserIn] Tilo Wettig [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Lattice QCD Lattice Quantum Field Theory

Übergeordnetes Werk:	In: Journal of High Energy Physics - SpringerOpen, 2016, (2019), 7, Seite 36
Übergeordnetes Werk:	year:2019 ; number:7 ; pages:36

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1007/JHEP07(2019)043

Katalog-ID:	DOAJ019831048

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520			\|a Abstract We numerically explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c ). This discretization can be reformulated such that the self-interactions of the gauge field are induced by a path integral over N b auxiliary bosonic fields, which couple linearly to the gauge field. In the first paper of the series we have shown that the theory reproduces continuum SU(N c ) Yang-Mills theory in d = 2 dimensions if N b is larger than N c − 3 4 $$ \frac{3}{4} $$ and conjectured, following the argument of Budzcies and Zirnbauer, that this remains true for d < 2. In the present paper, we test this conjecture by performing lattice simulations of the simplest nontrivial case, i.e., gauge group SU(2) in three dimensions. We show that observables computed in the induced theory, such as the static q q ¯ $$ \overline{q} $$ potential and the deconfinement transition temperature, agree with the same observables computed from the ordinary plaquette action up to lattice artifacts. We also find evidence that the bound for N b can be relaxed to N c − 5 4 $$ \frac{5}{4} $$ as conjectured in our earlier paper. Studies of how the new discretization can be used to change the order of integration in the path integral to arrive at dual formulations of QCD are left for future work.
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spelling	10.1007/JHEP07(2019)043 doi (DE-627)DOAJ019831048 (DE-599)DOAJ161e6b6d27bd4a4096647ca55d3eb474 DE-627 ger DE-627 rakwb eng QC770-798 Bastian B. Brandt verfasserin aut Induced QCD II: numerical results 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We numerically explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c ). This discretization can be reformulated such that the self-interactions of the gauge field are induced by a path integral over N b auxiliary bosonic fields, which couple linearly to the gauge field. In the first paper of the series we have shown that the theory reproduces continuum SU(N c ) Yang-Mills theory in d = 2 dimensions if N b is larger than N c − 3 4 $$ \frac{3}{4} $$ and conjectured, following the argument of Budzcies and Zirnbauer, that this remains true for d < 2. In the present paper, we test this conjecture by performing lattice simulations of the simplest nontrivial case, i.e., gauge group SU(2) in three dimensions. We show that observables computed in the induced theory, such as the static q q ¯ $$ \overline{q} $$ potential and the deconfinement transition temperature, agree with the same observables computed from the ordinary plaquette action up to lattice artifacts. We also find evidence that the bound for N b can be relaxed to N c − 5 4 $$ \frac{5}{4} $$ as conjectured in our earlier paper. Studies of how the new discretization can be used to change the order of integration in the path integral to arrive at dual formulations of QCD are left for future work. Lattice QCD Lattice Quantum Field Theory Nuclear and particle physics. Atomic energy. Radioactivity Robert Lohmayer verfasserin aut Tilo Wettig verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2019), 7, Seite 36 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2019 number:7 pages:36 https://doi.org/10.1007/JHEP07(2019)043 kostenfrei https://doaj.org/article/161e6b6d27bd4a4096647ca55d3eb474 kostenfrei http://link.springer.com/article/10.1007/JHEP07(2019)043 kostenfrei https://doaj.org/toc/1029-8479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ 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 2019 7 36
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allfieldsSound	10.1007/JHEP07(2019)043 doi (DE-627)DOAJ019831048 (DE-599)DOAJ161e6b6d27bd4a4096647ca55d3eb474 DE-627 ger DE-627 rakwb eng QC770-798 Bastian B. Brandt verfasserin aut Induced QCD II: numerical results 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We numerically explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c ). This discretization can be reformulated such that the self-interactions of the gauge field are induced by a path integral over N b auxiliary bosonic fields, which couple linearly to the gauge field. In the first paper of the series we have shown that the theory reproduces continuum SU(N c ) Yang-Mills theory in d = 2 dimensions if N b is larger than N c − 3 4 $$ \frac{3}{4} $$ and conjectured, following the argument of Budzcies and Zirnbauer, that this remains true for d < 2. In the present paper, we test this conjecture by performing lattice simulations of the simplest nontrivial case, i.e., gauge group SU(2) in three dimensions. We show that observables computed in the induced theory, such as the static q q ¯ $$ \overline{q} $$ potential and the deconfinement transition temperature, agree with the same observables computed from the ordinary plaquette action up to lattice artifacts. We also find evidence that the bound for N b can be relaxed to N c − 5 4 $$ \frac{5}{4} $$ as conjectured in our earlier paper. Studies of how the new discretization can be used to change the order of integration in the path integral to arrive at dual formulations of QCD are left for future work. Lattice QCD Lattice Quantum Field Theory Nuclear and particle physics. Atomic energy. Radioactivity Robert Lohmayer verfasserin aut Tilo Wettig verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2019), 7, Seite 36 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2019 number:7 pages:36 https://doi.org/10.1007/JHEP07(2019)043 kostenfrei https://doaj.org/article/161e6b6d27bd4a4096647ca55d3eb474 kostenfrei http://link.springer.com/article/10.1007/JHEP07(2019)043 kostenfrei https://doaj.org/toc/1029-8479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ 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 2019 7 36
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callnumber-first	Q - Science
author	Bastian B. Brandt
spellingShingle	Bastian B. Brandt misc QC770-798 misc Lattice QCD misc Lattice Quantum Field Theory misc Nuclear and particle physics. Atomic energy. Radioactivity Induced QCD II: numerical results
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topic_title	QC770-798 Induced QCD II: numerical results Lattice QCD Lattice Quantum Field Theory
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title	Induced QCD II: numerical results
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title_sort	induced qcd ii: numerical results
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title_auth	Induced QCD II: numerical results
abstract	Abstract We numerically explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c ). This discretization can be reformulated such that the self-interactions of the gauge field are induced by a path integral over N b auxiliary bosonic fields, which couple linearly to the gauge field. In the first paper of the series we have shown that the theory reproduces continuum SU(N c ) Yang-Mills theory in d = 2 dimensions if N b is larger than N c − 3 4 $$ \frac{3}{4} $$ and conjectured, following the argument of Budzcies and Zirnbauer, that this remains true for d < 2. In the present paper, we test this conjecture by performing lattice simulations of the simplest nontrivial case, i.e., gauge group SU(2) in three dimensions. We show that observables computed in the induced theory, such as the static q q ¯ $$ \overline{q} $$ potential and the deconfinement transition temperature, agree with the same observables computed from the ordinary plaquette action up to lattice artifacts. We also find evidence that the bound for N b can be relaxed to N c − 5 4 $$ \frac{5}{4} $$ as conjectured in our earlier paper. Studies of how the new discretization can be used to change the order of integration in the path integral to arrive at dual formulations of QCD are left for future work.
abstractGer	Abstract We numerically explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c ). This discretization can be reformulated such that the self-interactions of the gauge field are induced by a path integral over N b auxiliary bosonic fields, which couple linearly to the gauge field. In the first paper of the series we have shown that the theory reproduces continuum SU(N c ) Yang-Mills theory in d = 2 dimensions if N b is larger than N c − 3 4 $$ \frac{3}{4} $$ and conjectured, following the argument of Budzcies and Zirnbauer, that this remains true for d < 2. In the present paper, we test this conjecture by performing lattice simulations of the simplest nontrivial case, i.e., gauge group SU(2) in three dimensions. We show that observables computed in the induced theory, such as the static q q ¯ $$ \overline{q} $$ potential and the deconfinement transition temperature, agree with the same observables computed from the ordinary plaquette action up to lattice artifacts. We also find evidence that the bound for N b can be relaxed to N c − 5 4 $$ \frac{5}{4} $$ as conjectured in our earlier paper. Studies of how the new discretization can be used to change the order of integration in the path integral to arrive at dual formulations of QCD are left for future work.
abstract_unstemmed	Abstract We numerically explore an alternative discretization of continuum SU(N c ) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer for gauge group U(N c ). This discretization can be reformulated such that the self-interactions of the gauge field are induced by a path integral over N b auxiliary bosonic fields, which couple linearly to the gauge field. In the first paper of the series we have shown that the theory reproduces continuum SU(N c ) Yang-Mills theory in d = 2 dimensions if N b is larger than N c − 3 4 $$ \frac{3}{4} $$ and conjectured, following the argument of Budzcies and Zirnbauer, that this remains true for d < 2. In the present paper, we test this conjecture by performing lattice simulations of the simplest nontrivial case, i.e., gauge group SU(2) in three dimensions. We show that observables computed in the induced theory, such as the static q q ¯ $$ \overline{q} $$ potential and the deconfinement transition temperature, agree with the same observables computed from the ordinary plaquette action up to lattice artifacts. We also find evidence that the bound for N b can be relaxed to N c − 5 4 $$ \frac{5}{4} $$ as conjectured in our earlier paper. Studies of how the new discretization can be used to change the order of integration in the path integral to arrive at dual formulations of QCD are left for future work.
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title_short	Induced QCD II: numerical results
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score	7.3980417

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Induced QCD II: numerical results

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