The large-N limit of the chiral condensate from twisted reduced models

被引：6

作者：

Bonanno, Claudio ^{[1
]}

Butti, Pietro ^{[1
,2
,3
]}

Perez, Margarita Garcia ^{[1
]}

Gonzalez-Arroyo, Antonio ^{[1
,4
]}

Ishikawa, Ken-Ichi ^{[5
,6
]}

Okawa, Masanori ^{[6
]}

机构：

[1] Univ Autonoma Madrid, Inst Fis Teor, UAM CSIC, Calle Nicolas Cabrera 13-15, E-28049 Madrid, Spain

[2] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, Calle Pedro Cerbuna 12, E-50009 Zaragoza, Spain

[3] Univ Zaragoza, Ctr Astroparticulas & Fis Altas Energias CAPA, Calle Pedro Cerbuna 12, E-50009 Zaragoza, Spain

[4] Univ Autonoma Madrid, Dept Fis Teor, Modulo 15, E-28049 Madrid, Spain

[5] Hiroshima Univ, Core Res Energet Universe, Grad Sch Adv Sci & Engn, Higashihiroshima, Hiroshima 7398526, Japan

[6] Hiroshima Univ, Grad Sch Adv Sci & Engn, Higashihiroshima, Hiroshima 7398526, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2023年 / 2023卷 / 12期

基金：

欧盟地平线“2020”;

关键词：

1/N Expansion; Chiral Symmetry; Vacuum Structure and Confinement; SYMMETRY-BREAKING; STRING TENSION; TRANSITION; REDUCTION; QCD;

D O I：

10.1007/JHEP12(2023)034

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We compute the large-Nlimit of the QCD chiral condensate on the lattice using twisted reduced models, and performing controlled continuum and chiral extrapolations.We perform two different calculations: one consists in extracting the chiral condensate from the quark mass dependence of the pion mass, and the other consists in extracting the chiral condensate from the behaviour of the mode number of the Wilson-Dirac operator for small eigenvalues. We find consistency between the results of the two methods, giving a joint estimate of limN ->infinity Sigma(N)/N= [184(13) MeV]3(MS,mu= 2 GeV, taking the square root of the string tension root sigma= 440 MeV to set the scale), in remarkable agreement with the SU(3) 2-flavor FLAG result

引用

页数：25

共 88 条

[1] LARGE N REDUCED MODELS AND STOCHASTIC QUANTIZATION [J].

ALDAZABAL, G ;

PARGA, N ;

OKAWA, M ;

GONZALEZARROYO, A .

PHYSICS LETTERS B, 1983, 129 (1-2) :90-94

[2] Quark masses using twisted-mass fermion gauge ensembles [J].

Alexandrou, C. ;

Bacchio, S. ;

Bergner, G. ;

Constantinou, M. ;

Di Carlo, M. ;

Dimopoulos, P. ;

Finkenrath, J. ;

Fiorenza, E. ;

Frezzotti, R. ;

Garofalo, M. ;

Hadjiyiannakou, K. ;

Kostrzewa, B. ;

Koutsou, G. ;

Jansen, K. ;

Lubicz, V ;

Mangin-Brinet, M. ;

Manigrasso, F. ;

Martinelli, G. ;

Papadiofantous, E. ;

Pittler, F. ;

Rossi, G. C. ;

Sanfilippo, F. ;

Simula, S. ;

Tarantino, C. ;

Todaro, A. ;

Urbach, C. ;

Wenger, U. .

PHYSICAL REVIEW D, 2021, 104 (07)

[3] Renormalization constants of local operators for Wilson type improved fermions [J].

Alexandrou, C. ;

Constantinou, M. ;

Korzec, T. ;

Panagopouos, H. ;

Stylianou, F. .

PHYSICAL REVIEW D, 2012, 86 (01)

[4] Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow [J].

Alexandrou, Constantia ;

Athenodorou, Andreas ;

Cichy, Krzysztof ;

Constantinou, Martha ;

Horkel, Derek R. ;

Jansen, Karl ;

Koutsou, Giannis ;

Larkin, Conor .

PHYSICAL REVIEW D, 2018, 97 (07)

[5] On the running of the bare coupling in SU(N) lattice gauge theories [J].

Allton, Chris ;

Teper, Michael ;

Trivini, Aurora .

JOURNAL OF HIGH ENERGY PHYSICS, 2008, (07)

[6] FLAG Review 2019 [J].

Aoki, S. ;

Aoki, Y. ;

Becirevic, D. ;

Blum, T. ;

Colangelo, G. ;

Collins, S. ;

Della Morte, M. ;

Dimopoulos, P. ;

Duerr, S. ;

Fukaya, H. ;

Golterman, M. ;

Gottlieb, Steven ;

Gupta, R. ;

Hashimoto, S. ;

Heller, U. M. ;

Herdoiza, G. ;

Horsley, R. ;

Juttner, A. ;

Kaneko, T. ;

Lin, C. -J. D. ;

Lunghi, E. ;

Mawhinney, R. ;

Nicholson, A. ;

Onogi, T. ;

Pena, C. ;

Portelli, A. ;

Ramos, A. ;

Sharpe, S. R. ;

Simone, J. N. ;

Simula, S. ;

Sommer, R. ;

Van de Water, R. ;

Vladikas, A. ;

Wenger, U. ;

Wittig, H. .

EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (02)

[7] Topological susceptibility of QCD with dynamical Mobius domain-wall fermions [J].

Aoki, S. ;

Cossu, G. ;

Fukaya, H. ;

Hashimoto, S. ;

Kaneko, T. .

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2018, 2018 (04)

[8] The lattice free energy of QCD with clover fermions, up to three-loops [J].

Athenodorou, A. ;

Panagopoulos, H. ;

Tsapalis, A. .

PHYSICS LETTERS B, 2008, 659 (1-2) :252-259

[9] SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology [J].

Athenodorou, Andreas ;

Teper, Michael .

JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (12)

[10] Phase structure of twisted Eguchi-Kawai model [J].

Azeyanagi, Tatsuo ;

Hirata, Tornoyoshi ;

Hanada, Masanori ;

Ishikawa, Tomomi .

JOURNAL OF HIGH ENERGY PHYSICS, 2008, (01)

← 1 2 3 4 5 6 7 8 9 →