Nonperturbative Physics in a Magnetic Field
Vivian de la Incera

TL;DR
This paper discusses the impact of external magnetic fields on non-perturbative quantum field theories, focusing on phenomena like superconductivity and chiral symmetry breaking involving fermion condensates.
Contribution
It provides an overview of how magnetic fields influence fermion condensates in various non-perturbative quantum field theories, highlighting theoretical effects.
Findings
Magnetic fields can induce or modify fermion condensates.
External magnetic fields affect phase transitions in quantum field theories.
Theoretical insights into magnetic catalysis of symmetry breaking.
Abstract
Non-Perturbative Quantum Field Theory has played an important role in the study of phenomena where a fermion condensate can appear under certain physical conditions. The familiar phenomenon of electric superconductivity, the color superconductivity of very dense quark matter, and the chiral symmetry breaking of low energy effective chiral theories are all examples of that sort. Often one is interested in the behavior of these systems in the presence of an external magnetic field. In this talk I will outline the effects of an external magnetic field on theories with either fermion-fermion or fermion-antifermion condensates.
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