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High Energy Physics - Theory

arXiv:2111.02124 (hep-th)
[Submitted on 3 Nov 2021 (v1), last revised 15 Feb 2022 (this version, v2)]

Title:Cancellation of IR Divergences in 3d Abelian Gauge Theories

Authors:Giovanni Galati, Marco Serone
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Abstract:Three dimensional abelian gauge theories classically in a Coulomb phase are affected by IR divergences even when the matter fields are all massive. Using generalizations of Ward-Takahashi identities, we show that correlation functions of gauge-invariant operators are IR finite to all orders in perturbation theory. Gauge invariance is sufficient but not necessary for IR finiteness. In particular we show that specific gauge-variant correlators, including the two-point function of matter fields, are also IR finite to all orders in perturbation theory. Possible applications of these results are briefly discussed.
Comments: 22 pages; V2: JHEP published version
Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2111.02124 [hep-th]
  (or arXiv:2111.02124v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.02124
Related DOI: https://doi.org/10.1007/JHEP02%282022%29123

Submission history

From: Marco Serone [view email]
[v1] Wed, 3 Nov 2021 10:41:05 UTC (144 KB)
[v2] Tue, 15 Feb 2022 15:24:03 UTC (144 KB)
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