Speaker
Gergely Marko
(Bielefeld University)
Description
We investigate spontaneous symmetry breaking using the constraint effective potential. The method is formulated as a path integral, where only configuration with a restricted order parameter value contribute. The construction approximates the usual effective potential, becoming exact in the infinite volume limit. In theory, this allows access to spontaneously broken phases directly for Monte Carlo lattice simulations, where otherwise only a vanishing explicit breaking extrapolation can be used. We briefly recall the formulation in the bosonic case, then show how a generalization to fermionic order parameters can be achieved. As a test case we study the chiral Gross-Neveu model in the large-N approximation.
Author
Gergely Marko
(Bielefeld University)