A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations
| Autor: | Thanu Padmanabhan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Spacetime Lorentz transformation Propagator FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) lcsh:QC1-999 General Relativity and Quantum Cosmology symbols.namesake Quantization (physics) High Energy Physics - Theory (hep-th) Path integral formulation symbols Feynman diagram Quantum field theory Scalar field lcsh:Physics Mathematical physics |
| Zdroj: | Physics Letters Physics Letters B, Vol 811, Iss, Pp 135912-(2020) |
| Popis: | Given any (Feynman) propagator which is Lorentz and translation invariant, it is possible to construct an action functional for a scalar field such that the quantum field theory, obtained by path integral quantization, leads to this propagator. In general, such a theory will involve derivatives of the field higher than two and can even involve derivatives of infinite order. The poles of the given propagator determine the dispersion relation for the excitations of this field. I show that it is possible to construct field theories in which the dispersion relation is the same as that of standard Klein-Gordan field, even though the Lagrangian contains derivatives of infinite order. I provide a concrete example of this situation starting from a propagator which incorporates the effects of the zero-point-length of the spacetime. I compare the path integral approach with an alternative, operator-based approach, and highlight the advantages of using the former. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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