Sine-Gordon Effective Potential beyond Gaussian Approximation

Abstract

Combining an optimized expansion scheme in the spirit of the background field method with the Coleman's normal-ordering renormalization prescription, we calculate the effective potential of sine-Gordon field theory beyond the Gaussian approximation. The first-order result is just the sine-Gordon Gaussian effective potential (GEP). For the range of the coupling beta^2 <= 3.4 pi (an approximate value), a calculation with Mathematica indicates that the result up to the second order is finite without any further renormalization procedure and tends to improve the GEP more substantially while beta^2 increases from zero.

9 pages and 4 EPS figures, the revised version with literal changes and minor corrections to typo errors in equations

References in corpus (3)

• Gaussian Effective Potential and the Coleman's normal-ordering Prescription : the Functional Integral Formalism
• Phase Structure of a Compact U(1) Gauge Theory from the Viewpoint of a Sine-Gordon Model
• Optimized Rayleigh-Schrödinger Expansion of the Effective Potential

Cited by in corpus (2)

• Sine-Gordon Expectation Values of Exponential Fields With Variational Perturbation Theory
• Nonsensitive nonlinear homotopy approach