Renormalization of Lorentz non-invariant actions and manifest T-duality
Oct, 200927 pages
Published in:
- Nucl.Phys.B 827 (2010) 545-564
e-Print:
- 0910.1345 [hep-th]
Report number:
- QMUL-PH-09-22
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Abstract: (Elsevier)
We study general two-dimensional σ -models which do not possess manifest Lorentz invariance. We show how demanding that Lorentz invariance is recovered as an emergent on-shell symmetry constrains these σ -models. The resulting actions have an underlying group-theoretic structure and resemble Poisson–Lie T-duality invariant actions. We consider the one-loop renormalization of these models and show that the quantum Lorentz anomaly is absent. We calculate the running of the couplings in general and show, with certain non-trivial examples, that this agrees with that of the T-dual models obtained classically from the duality invariant action. Hence, in these cases solving constraints before and after quantization are commuting operations.- invariance: Lorentz
- duality: invariance
- T-duality
- renormalization
- sigma model
- dimension: 2
- renormalization group: flow
- background field: expansion
- effective action
- anomaly: Weyl
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