Hidden conformal symmetry from the lattice

被引：9

作者：

Appelquist, T. ^{[1
]}

Brower, R. C. ^{[2
,3
]}

Cushman, K. K. ^{[1
]}

Fleming, G. T. ^{[1
,4
]}

Gasbarro, A. ^{[5
]}

Hasenfratz, A. ^{[6
]}

Ingoldby, J. ^{[7
]}

Jin, X. Y.

Neil, E. T. ^{[6
]}

Osborn, J. C. ^{[8
]}

Rebbi, C. ^{[2
,3
]}

Rinaldi, E. ^{[9
]}

Schaich, D. ^{[10
]}

Vranas, P. ^{[11
,12
]}

Weinberg, E. ^{[2
,3
,13
]}

Witzel, O. ^{[14
]}

机构：

[1] Yale Univ, Dept Phys, Sloane Lab, New Haven, CT 06520 USA

[2] Boston Univ, Dept Phys, Boston, MA 02215 USA

[3] Boston Univ, Ctr Computat Sci, Boston, MA 02215 USA

[4] Theoret Phys Div, Fermilab, Batavia, IL 60510 USA

[5] Univ Bern, AEC, Inst Theoret Phys, CH-3012 Bern, Switzerland

[6] Univ Colorado, Dept Phys, Boulder, CO 80309 USA

[7] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy

[8] Argonne Natl Lab, Computat Sci Div, Argonne, IL 60439 USA

[9] Interdisciplinary Theoret & Math Sci Program iTHEM, RIKEN, 2-1 Hirosawa, Wako, Saitama 3510198, Japan

[10] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, England

[11] Lawrence Livermore Natl Lab, Phys & Life Sci Div, Livermore, CA 94550 USA

[12] Lawrence Berkeley Natl Lab, Nucl Sci Div, Berkeley, CA 94720 USA

[13] NVIDIA Corp, Santa Clara, CA 95050 USA

[14] Univ Siegen, Naturwissenschaftlich Tech Fak, Ctr Particle Phys Siegen CPPS, Theoret Phys 1, D-57068 Siegen, Germany

来源：

PHYSICAL REVIEW D | 2023年 / 108卷 / 09期

基金：

美国能源部; 美国国家科学基金会;

关键词：

DYNAMICS;

D O I：

10.1103/PhysRevD.108.L091505

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We analyze newly expanded and refined data from lattice studies of an SU(3) gauge theory with eight Dirac fermions in the fundamental representation. We focus on the light composite states emerging from these studies, consisting of a set of pseudoscalars and a single light scalar. We first consider the view that this theory is just outside the conformal window. In this case, the pseudoscalars arise from spontaneous breaking of chiral symmetry. Identifying the scalar in this case as an approximate dilaton, we fit the lattice data to a dilaton effective field theory, finding that it yields a good fit even at lowest order. For comparison, we then consider the possibility that the theory is inside the conformal window. The fermion mass provides a deformation, triggering confinement. We employ simple scaling laws to fit the lattice data and find that it is of lesser quality.

引用

页数：7

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