Numerical evaluation of a two loop diagram in the cutoff regularization

Abstract

The sunset diagram of $\lambda {\varphi }^4$ theory is evaluated numerically in cutoff scheme and a nonzero finite term (in accordance with dimensional regularization (DR) result) is found in contrast to published calculations. This finding dramatically reduces the critical couplings for symmetry breaking in the two loop effective potential discussed in our previous work.

arXiv comment6 pages, revtex, to appear in Comm. Theor. Phys

Cited by in corpus (3)

• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation
• Reshuffled Strongly Interacting Massive Particle Dark Matter