Light-cone quantization of scalar field on time-dependent backgrounds
Abstract We discuss what is light-cone quantization on a curved spacetime also without a null Killing vector. Then we consider as an example the light-cone quantization of a scalar field on a background with a Killing vector and the connection with the second quantization of the particle in the same...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10575-8 |
| _version_ | 1828374370564702208 |
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| author | Andrea Arduino Igor Pesando |
| author_facet | Andrea Arduino Igor Pesando |
| author_sort | Andrea Arduino |
| collection | DOAJ |
| description | Abstract We discuss what is light-cone quantization on a curved spacetime also without a null Killing vector. Then we consider as an example the light-cone quantization of a scalar field on a background with a Killing vector and the connection with the second quantization of the particle in the same background. It turns out that the proper way to define the light-cone quantization is to require that the constant light-cone time hypersurface is null or, equivalently, that the particle Hamiltonian is free of square roots. Moreover, in order to quantize the scalar theory it is necessary to use not the original scalar rather a scalar field density, i.e. the Schrödinger wave functional depends on a scalar density and not on the original field. Finally we recover this result as the second quantization of a particle on the same background, where it is necessary to add as input the fact that we are dealing with a scalar density. |
| first_indexed | 2024-04-14T07:32:35Z |
| format | Article |
| id | doaj.art-01d8d739741948ed979a6cb0121f4cce |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-14T07:32:35Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-01d8d739741948ed979a6cb0121f4cce2022-12-22T02:05:48ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-07-0182711310.1140/epjc/s10052-022-10575-8Light-cone quantization of scalar field on time-dependent backgroundsAndrea Arduino0Igor Pesando1Dipartimento di Fisica, Università di Torino and I.N.F.N.-Sezione di TorinoDipartimento di Fisica, Università di Torino and I.N.F.N.-Sezione di TorinoAbstract We discuss what is light-cone quantization on a curved spacetime also without a null Killing vector. Then we consider as an example the light-cone quantization of a scalar field on a background with a Killing vector and the connection with the second quantization of the particle in the same background. It turns out that the proper way to define the light-cone quantization is to require that the constant light-cone time hypersurface is null or, equivalently, that the particle Hamiltonian is free of square roots. Moreover, in order to quantize the scalar theory it is necessary to use not the original scalar rather a scalar field density, i.e. the Schrödinger wave functional depends on a scalar density and not on the original field. Finally we recover this result as the second quantization of a particle on the same background, where it is necessary to add as input the fact that we are dealing with a scalar density.https://doi.org/10.1140/epjc/s10052-022-10575-8 |
| spellingShingle | Andrea Arduino Igor Pesando Light-cone quantization of scalar field on time-dependent backgrounds European Physical Journal C: Particles and Fields |
| title | Light-cone quantization of scalar field on time-dependent backgrounds |
| title_full | Light-cone quantization of scalar field on time-dependent backgrounds |
| title_fullStr | Light-cone quantization of scalar field on time-dependent backgrounds |
| title_full_unstemmed | Light-cone quantization of scalar field on time-dependent backgrounds |
| title_short | Light-cone quantization of scalar field on time-dependent backgrounds |
| title_sort | light cone quantization of scalar field on time dependent backgrounds |
| url | https://doi.org/10.1140/epjc/s10052-022-10575-8 |
| work_keys_str_mv | AT andreaarduino lightconequantizationofscalarfieldontimedependentbackgrounds AT igorpesando lightconequantizationofscalarfieldontimedependentbackgrounds |