Lattice φ4 field theory on Riemann manifolds: Numerical tests for the 2D Ising CFT on S2

被引：18

作者：

Brower, Richard C. ^{[1
]}

Cheng, Michael ^{[1
]}

Weinberg, Evan S. ^{[1
]}

Fleming, George T. ^{[2
]}

Gasbarro, Andrew D. ^{[2
]}

Raben, Timothy G. ^{[3
,4
]}

Tan, Chung-, I ^{[3
]}

机构：

[1] Boston Univ, Boston, MA 02215 USA

[2] Yale Univ, Sloane Lab, New Haven, CT 06520 USA

[3] Brown Univ, Providence, RI 02912 USA

[4] Univ Kansas, Lawrence, KS 66045 USA

来源：

PHYSICAL REVIEW D | 2018年 / 98卷 / 01期

关键词：

INFINITE CONFORMAL SYMMETRY; FEYNMAN-INTEGRALS; RENORMALIZATION; UNIVERSALITY; PARAMETERS; DIMENSIONS;

D O I：

10.1103/PhysRevD.98.014502

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a method for defining a lattice realization of the phi(4) quantum field theory on a simplicial complex in order to enable numerical computation on a general Riemann manifold. The procedure begins with adopting methods from traditional Regge calculus (RC) and finite element methods (FEM) plus the addition of ultraviolet counterterms required to reach the renormalized field theory in the continuum limit. The construction is tested numerically for the two-dimensional phi(4) scalar field theory on the Riemann twosphere, S-2, in comparison with the exact solutions to the two-dimensional Ising conformal field theory (CFT). Numerical results for the Binder cumulants (up to 12th order) and the two-and four-point correlation functions are in agreement with the exact c = 1/2 CFT solutions.

引用

页数：26

共 53 条

[1] OVER-RELAXATION METHOD FOR THE MONTE-CARLO EVALUATION OF THE PARTITION-FUNCTION FOR MULTIQUADRATIC ACTIONS [J].