θ dependence in trace deformed SU(3) Yang-Mills theory: A lattice study

被引：22
作者：
Bonati, Claudio [1 ]
Cardinali, Marco [1 ]
D'Elia, Massimo [1 ]
机构：
[1] Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy
来源：
PHYSICAL REVIEW D | 2018年 / 98卷 / 05期
关键词：
SU(N) GAUGE-THEORIES; MONTE-CARLO; TOPOLOGICAL SUSCEPTIBILITY; INSTANTONS; VACUUM; CHARGE; SCALE; QCD;
D O I：
10.1103/PhysRevD.98.054508
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper we investigate, by means of numerical lattice simulations, the topological properties of the trace deformed SU(3) Yang-Mills theory defined on S-1 x R-3. More precisely, we evaluate the topological susceptibility and the b(2) coefficient (related to the fourth cumulant of the topological charge distribution) of this theory for different values of the lattice spacing and of the compactification radius. In all the cases we find results in good agreement with the corresponding ones of the standard SU(3) Yang-Mills theory on R-4.
引用
收藏
页数：6
相关论文
共 67 条
[1]   Large N field theories, string theory and gravity [J].
Aharony, O ;
Gubser, SS ;
Maldacena, J ;
Ooguri, H ;
Oz, Y .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386
[2]   Topological charge using cooling and the gradient flow [J].
Alexandrou, C. ;
Athenodorou, A. ;
Jansen, K. .
PHYSICAL REVIEW D, 2015, 92 (12)
[3]   Topology at zero and finite T in SU(2) Yang-Mills theory [J].
Alles, B ;
DElia, M ;
DiGiacomo, A .
PHYSICS LETTERS B, 1997, 412 (1-2) :119-124
[4]   Oblique confinement at θ # 0 In weakly coupled gauge theories with deformations [J].
Anber, Mohamed M. ;
Zhitnitsky, Ariel R. .
PHYSICAL REVIEW D, 2017, 96 (07)
[5]   Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups [J].
Anber, Mohamed M. ;
Poppitz, Erich ;
Teeple, Brett .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (09)
[6]  
[Anonymous], 1988, ASPECTS SYMMETRY
[7]   DISLOCATIONS AND TOPOLOGICAL BACKGROUND IN THE LATTICE O(3) SIGMA-MODEL [J].
BERG, B .
PHYSICS LETTERS B, 1981, 104 (06) :475-480
[8]   Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory [J].
Berg, Bernd A. ;
Clarke, David A. .
PHYSICAL REVIEW D, 2017, 95 (09)
[9]   Metastable vacuum decay and θ dependence in gauge theory. Deformed QCD as a toy model [J].
Bhoonah, Amit ;
Thomas, Evan ;
Zhitnitsky, Ariel R. .
NUCLEAR PHYSICS B, 2015, 890 :30-47
[10]   θ dependence of 4D SU(N) gauge theories in the large-N limit [J].
Bonati, Claudio ;
D'Elia, Massimo ;
Rossi, Paolo ;
Vicari, Ettore .
PHYSICAL REVIEW D, 2016, 94 (08)
1234567