Weighted power counting and Lorentz violating gauge theories. II: Classification

Journal Article · Fri May 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.12.007· OSTI ID:21308048

Anselmi, Damiano ^[1]

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1. Dipartimento di Fisica 'Enrico Fermi', Universita di Pisa, Largo Pontecorvo 3, I-56127 Pisa (Italy)

We classify the local, polynomial, unitary gauge theories that violate Lorentz symmetry explicitly at high energies and are renormalizable by weighted power counting. We study the structure of such theories and prove that renormalization does not generate higher time derivatives. We work out the conditions to renormalize vertices that are usually non-renormalizable, such as the two scalar-two fermion interactions and the four fermion interactions. A number of four-dimensional examples are presented.

• OSTI ID: 21308048
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 5; Other Information: DOI: 10.1016/j.aop.2008.12.007; PII: S0003-4916(08)00177-2; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSIFICATION
FERMI INTERACTIONS
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
POLYNOMIALS
RENORMALIZATION
SCALARS
SYMMETRY