Incorporation of generalized uncertainty principle into Lifshitz field theories. (English) Zbl 1343.81168
Summary: In this paper, we will incorporate the generalized uncertainty principle into field theories with Lifshitz scaling. We will first construct both bosonic and fermionic theories with Lifshitz scaling based on generalized uncertainty principle. After that we will incorporate the generalized uncertainty principle into a non-abelian gauge theory with Lifshitz scaling. We will observe that even though the action for this theory is non-local, it is invariant under local gauge transformations. We will also perform the stochastic quantization of this Lifshitz fermionic theory based generalized uncertainty principle.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81S20 | Stochastic quantization |
| 81T70 | Quantization in field theory; cohomological methods |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81V17 | Gravitational interaction in quantum theory |
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