Proper Time Method for Fermions
Ashok Das, Carlos Farina
TL;DR
This paper demonstrates how Schwinger's proper time method can be applied to evaluate determinants of first order fermionic operators, providing detailed examples to illustrate the approach.
Contribution
It introduces a novel application of Schwinger's proper time method specifically for fermionic first order operators, with detailed worked examples.
Findings
Effective evaluation of fermionic determinants using proper time method
Detailed examples illustrating the method's application
Potential for simplifying fermionic quantum field theory calculations
Abstract
We show how Schwinger's proper time method can be used to evaluate directly the determinant of first order operators associated with fermionic theories. Several examples are worked out in detail.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum Chromodynamics and Particle Interactions · Quantum and electron transport phenomena