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Propagating torsion in 3D gravity and dynamical mass generation

J L Boldo1, J A Helayël-Neto2,3 and N Panza2

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In this paper, fermions are minimally coupled to 3D gravity with dynamical torsion. A Kalb–Ramond field is also introduced and non-minimally coupled to the fermions in a gauge-invariant way. We show that a 1-loop mass generation mechanism takes place for both the 2-form gauge field and the torsion. As for the fermions, no mass is dynamically generated: at 1-loop, there is only a fermion mass shift proportional to the Yukawa coupling whenever these fermions have a non-vanishing tree-level mass.


PACS

04.60.-m Quantum gravity

11.15.-q Gauge field theories

MSC

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

83Cxx General relativity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 8 (21 April 2002)

Received 10 July 2001, in final form 2 January 2002

Published 3 April 2002



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