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.

Cancellation of IR Divergences in 3d Abelian Gauge Theories / Galati, Giovanni; Serone, Marco. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2022:2(2022), pp. 1-19. [10.1007/JHEP02(2022)123]

Cancellation of IR Divergences in 3d Abelian Gauge Theories

Giovanni Galati
;
Marco Serone
2022

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.
2022
2
1
19
123
10.1007/JHEP02(2022)123
http://arxiv.org/abs/2111.02124v2
Galati, Giovanni; Serone, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/128533
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