Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 29, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X14500122
Keywords
Quantum field theory; Lorentz and Poincare invariance; varying couplings; field theory in dimensions other than four
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Funding
- Ramon y Cajal
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A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific choice of the coupling's profile for any finite-order perturbative expansion. For one of these cases, some tree and one-loop diagrams are calculated. This is an example of a theory where violation of Lorentz symmetry is not enhanced at the quantum level. We draw some consequences for the renormalization properties of certain classes of fractional field theories.
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