Vacuum Polarization Using Quantum Mechanical Path Integrals
Walter Dittrich (Tubingen U.)
TL;DR
This paper presents a novel method for calculating quantum vacuum polarization in scalar field theory using quantum mechanical path integrals, avoiding traditional loop-momentum integrals, and relates it to scalar QED.
Contribution
It introduces a new approach to compute vacuum polarization via path integrals in quantum mechanics, bypassing loop-momentum integrals and connecting to scalar QED.
Findings
Successfully computes vacuum polarization without loop integrals
Establishes a link between quantum mechanical path integrals and scalar QED
Provides a new computational framework for quantum field effects
Abstract
We compute the quantum vacuum polarization for a pure neutral scalar field theory within the context of single-particle quantum mechanics. The loop diagram is computed without ever encountering loop-momentum integrals. Our approach is based on standard Feynman path integrals. Contact is made to scalar QED.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Particle physics theoretical and experimental studies · Algebraic and Geometric Analysis