TY - JOUR
T1 - Worldline approach to vector and antisymmetric tensor fields II
AU - Bastianelli, Fiorenzo
AU - Benincasa, Paolo
AU - Giombi, Simone
N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2005/10/1
Y1 - 2005/10/1
N2 - We extend the worldline description of vector and antisymmetric tensor fields coupled to gravity to the massive case. In particular, we derive a worldline path integral representation for the one-loop effective action of a massive antisymmetric tensor field of rank p (a massive p-form) whose dynamics is dictated by a standard Proca-like lagrangian coupled to a background metric. This effective action can be computed in a proper time expansion to obtain the corresponding Seeley-DeWitt coefficients a0, a1, a 2. The worldline approach immediately shows that these coefficients are derived from the massless ones by the simple shift D→D+1, where D is the spacetime dimension. Also, the worldline representation makes it simple to derive exact duality relations. Finally, we use such a representation to calculate the one-loop contribution to the graviton self-energy due to both massless and massive antisymmetric tensor fields of arbitrary rank, generalizing results already known for the massless spin 1 field (the photon).
AB - We extend the worldline description of vector and antisymmetric tensor fields coupled to gravity to the massive case. In particular, we derive a worldline path integral representation for the one-loop effective action of a massive antisymmetric tensor field of rank p (a massive p-form) whose dynamics is dictated by a standard Proca-like lagrangian coupled to a background metric. This effective action can be computed in a proper time expansion to obtain the corresponding Seeley-DeWitt coefficients a0, a1, a 2. The worldline approach immediately shows that these coefficients are derived from the massless ones by the simple shift D→D+1, where D is the spacetime dimension. Also, the worldline representation makes it simple to derive exact duality relations. Finally, we use such a representation to calculate the one-loop contribution to the graviton self-energy due to both massless and massive antisymmetric tensor fields of arbitrary rank, generalizing results already known for the massless spin 1 field (the photon).
KW - Duality in Gauge Field Theories
KW - Gauge Symmetry
KW - Sigma Models
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U2 - 10.1088/1126-6708/2005/10/114
DO - 10.1088/1126-6708/2005/10/114
M3 - Article
AN - SCOPUS:27544505996
SP - 2741
EP - 2761
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 10
ER -