Aug 25 – 30, 2024
Goethe-University, Frankfurt/Main Campus Riedberg
Europe/Berlin timezone

Constraint effective potential in fermionic systems

Not scheduled
2m
HS 3 of Otto-Stern-Zentrum (Goethe-University, Frankfurt/Main Campus Riedberg )

HS 3 of Otto-Stern-Zentrum

Goethe-University, Frankfurt/Main Campus Riedberg

Goethe-Universität, Ruth-Moufang-Straße 2, 60438 Frankfurt am Main
Poster A Lattice & Strong Fields Poster session

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)

Co-authors

Presentation materials

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