Paramagnetism, zero modes and mass singularities in QED in $1+1$, $2+1$ and $3+1$ dimensions
M. P. Fry (School of Mathematics, Trinity College, Dublin)
TL;DR
This paper explores how paramagnetism, zero modes, and mass singularities influence fermionic determinants in quantum electrodynamics across 1+1, 2+1, and 3+1 dimensions, revealing dimension-dependent effects.
Contribution
It provides a comparative analysis of paramagnetic effects, zero modes, and mass singularities in QED across different spacetime dimensions, highlighting their interrelations.
Findings
Dimension-dependent behavior of fermionic determinants
Role of zero modes in different dimensions
Impact of mass singularities on fermionic determinants
Abstract
The interplay of paramagnetism, zero modes of the Dirac operator and fermionic mass singularities on the fermionic determinants in quantum electrodynamics in two, three and four dimensions is discussed.
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