On the regularization of Lifshitz-type field theories
We consider Lifshitz-type scalar theories with explicit breaking of the Lorentz symmetry that, in addition, exhibit anisotropic scaling laws near the ultraviolet fixed point. Using the proper time regularization method on the spatial coordinates only, we derive the regularized form of the one-loop e...
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| Veröffentlicht in: | The European physical journal. C, Particles and fields Particles and fields, 2020-11, Vol.80 (11), Article 1081 |
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| container_title | The European physical journal. C, Particles and fields |
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| creator | Bonanno, Alfio Park, Miok Rachwał, Lesław Zappalà, Dario |
| description | We consider Lifshitz-type scalar theories with explicit breaking of the Lorentz symmetry that, in addition, exhibit anisotropic scaling laws near the ultraviolet fixed point. Using the proper time regularization method on the spatial coordinates only, we derive the regularized form of the one-loop effective potential in such theories. We study the main features of the one-loop effective potential and, also, the RG flow of the scale-dependent potential both in the IR and UV regimes. The beta functions for the couplings are derived. |
| doi_str_mv | 10.1140/epjc/s10052-020-08666-5 |
| format | Article |
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| subjects | Analysis Anisotropy Astronomy Astrophysics and Cosmology Couplings Elementary Particles Hadrons Heavy Ions Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article – Theoretical Physics Regularization Regularization methods Scaling laws String Theory |
| title | On the regularization of Lifshitz-type field theories |
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