3-7 December 2015
Europe/Warsaw timezone
Beyond the Coleman--Weinberg Effective Potential
Presented by Prof. Apostolos PILAFTSIS
Content
The Two-Particle-Irreducible (2PI) formalism as introduced by Cornwall,
Jackiw and Tomboulis provides a systematic analytic approach to
consistently describing non-perturbative phenomena in Quantum Field
Theory. In spite of its great success, one major problem of the 2PI
approach is that its loopwise expansion gives rise to residual
violations of symmetries and hence to massive Goldstone bosons in the
spontaneously broken phase of the theory. In my talk I will present a
novel Symmetry-Improved 2PI formalism which consistently encodes global
symmetries in a loopwise expansion, leading to massless Goldstone bosons
within quantum loops and to a second order phase transition in O(N)
theories. In particular, I will outline the derivation of a
Symmetry-Improved 2PI effective potential, in which new topologies of
infinite series of graphs can be systematically resummed that allow to successfully
address the Goldstone-boson IR problem of the fixed-order
Coleman--Weinberg effective potential.