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Ghost Loops are Indispensable in Unitary Gauge

2019/10/17 by Er-Cheng Tsai, Tsai, Er-Cheng
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1910.08121

openalex publication_date 2019/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is conventionally taken for granted that the unitary gauge formulation of quantum gauge field theory has the advantage of preservation unitarity because only physical fields are involved but has the disadvantage of losing renormalizability because of severe ultraviolet divergences due to vector meson propagators. In this paper, we show how to handle the ultraviolet divergent loops so that the physical amplitudes remain gauge invariant. One of the consequences we arrive at is that ghost loops are needed to cancel the divergences due to vector mesons and to give gauge invariant physical amplitudes.

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