Renormalization of Lorentz non-invariant actions and manifest T-duality

2009/10/31 by Konstantinos Sfetsos, K. Sfetsos, Κωνσταντίνος Σιάμπος +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.11.001

published as Nucl.Phys.B827:545-564,2010 · V2: reference added, version to appear in Nucl. Phys. B

openalex publication_date 2009/11/04 · arxiv created 2009/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study general two-dimensional sigma-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 sigma-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.

Citations

• Self-dual fields as charge-density solitons
• Currents, charges, and canonical structure of pseudodual chiral models
• Poisson-Lie T-duality and loop groups of Drinfeld doubles

Cited by

• Yang–Baxter σ model: Quantum aspects