Sp (2N) Yang-Mills theories on the lattice: Scale setting and topology

被引：12

作者：

Bennett, Ed ^{[1
]}

Hong, Deog Ki ^{[2
]}

Lee, Jong-Wan ^{[2
,3
]}

Lin, C. -J. David ^{[4
,5
,6
,7
]}

Lucini, Biagio ^{[1
,8
]}

Piai, Maurizio ^{[9
]}

Vadacchino, Davide ^{[10
,11
,12
]}

机构：

[1] Swansea Univ, Swansea Acad Adv Comp, Fabian Way, Swansea SA1 8EN, W Glam, Wales

[2] Pusan Natl Univ, Dept Phys, Busan 46241, South Korea

[3] Pusan Natl Univ, Inst Extreme Phys, Busan 46241, South Korea

[4] Natl Yang Ming Chiao Tung Univ, Inst Phys, 1001 Ta Hsueh Rd, Hsinchu 30010, Taiwan

[5] Chung Yuan Christian Univ, Ctr High Energy Phys, Chungli 32023, Taiwan

[6] Natl Yang Ming Chiao Tung Univ, Ctr Theoret & Computat Phys, 1001 Ta Hsueh Rd, Hsinchu 30010, Taiwan

[7] Natl Ctr Theoret Sci, Div Phys, Taipei 10617, Taiwan

[8] Swansea Univ, Dept Math, Fac Sci & Engn, Fabian Way, Swansea SA1 8EN, W Glam, Wales

[9] Swansea Univ, Dept Phys, Fac Sci & Engn, Singleton Pk, Swansea SA2 8PP, W Glam, Wales

[10] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland

[11] Trinity Coll Dublin, Hamilton Math Inst, Dublin 2, Ireland

[12] Univ Plymouth, Ctr Math Sci, Plymouth PL4 8AA, Devon, England

来源：

PHYSICAL REVIEW D | 2022年 / 106卷 / 09期

基金：

英国科学技术设施理事会; 欧洲研究理事会; 新加坡国家研究基金会; 英国科研创新办公室; 英国工程与自然科学研究理事会; 欧盟地平线“2020”;

关键词：

SU(N) GAUGE-THEORIES; LARGE-N LIMIT; PHASE-TRANSITION; COMPOSITE HIGGS; FIELD-THEORIES; U(1); QCD;

D O I：

10.1103/PhysRevD.106.094503

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study Yang-Mills lattice theories with Sp(N-c) gauge group, with N-c = 2N, for N = 1;.; 4. We show that if we divide the renormalized couplings appearing in the Wilson flow by the quadratic Casimir C-2(F) of the Sp(N-c) group, then the resulting quantities display a good agreement among all values of N-c considered, over a finite interval in flow time. We use this scaled version of the Wilson flow as a scalesetting procedure, compute the topological susceptibility of the Sp(N-c) theories, and extrapolate the results to the continuum limit for each N-c.

引用

页数：19

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