A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations
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 t...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-12-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320307152 |
| _version_ | 1818322225258823680 |
|---|---|
| author | T. Padmanabhan |
| author_facet | T. Padmanabhan |
| author_sort | T. Padmanabhan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T10:53:25Z |
| format | Article |
| id | doaj.art-feacac450aa5427c996447883eb11d8f |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-13T10:53:25Z |
| publishDate | 2020-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-feacac450aa5427c996447883eb11d8f2022-12-21T23:49:45ZengElsevierPhysics Letters B0370-26932020-12-01811135912A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitationsT. Padmanabhan0IUCAA, Pune University Campus, Ganeshkhind, Pune, 411 007, IndiaGiven 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.http://www.sciencedirect.com/science/article/pii/S0370269320307152 |
| spellingShingle | T. Padmanabhan A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations Physics Letters B |
| title | A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations |
| title_full | A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations |
| title_fullStr | A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations |
| title_full_unstemmed | A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations |
| title_short | A class of QFTs with higher derivative field equations leading to standard dispersion relation for the particle excitations |
| title_sort | class of qfts with higher derivative field equations leading to standard dispersion relation for the particle excitations |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320307152 |
| work_keys_str_mv | AT tpadmanabhan aclassofqftswithhigherderivativefieldequationsleadingtostandarddispersionrelationfortheparticleexcitations AT tpadmanabhan classofqftswithhigherderivativefieldequationsleadingtostandarddispersionrelationfortheparticleexcitations |