Absence of second order phase transition in λϕ⁴ theory

1996/07/11 by S. Mallik, Mallik, S., K. Mukherjee +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9607087

8 pages

arxiv created 1996/07/11 · arxiv updated 2009/11/30

Abstract

We calculate the self-energy at finite temperature in scalar λϕ⁴ theory to second order in a modified perturbation expansion. Using the renormalisation group equation to tame the logarithms in momentum, it gives an equation to determine the critical temperature. Due to the infrared freedom of the theory, this equation is satisfied, irrespective of the value of the temperature. We conclude that there is no second order phase transition in this theory.

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