Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge
I give explicit formulae for full propagators of vector and scalar fields in a generic spin-1 gauge model quantized in an arbitrary linear covariant gauge. The propagators, expressed in terms of all-order one-particle-irreducible correlation functions, have a remarkably simple form because of constr...
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| Format: | Article |
| Language: | English |
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Elsevier
2019-06-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319301026 |
| _version_ | 1818152975298723840 |
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| author | Adrian Lewandowski |
| author_facet | Adrian Lewandowski |
| author_sort | Adrian Lewandowski |
| collection | DOAJ |
| description | I give explicit formulae for full propagators of vector and scalar fields in a generic spin-1 gauge model quantized in an arbitrary linear covariant gauge. The propagators, expressed in terms of all-order one-particle-irreducible correlation functions, have a remarkably simple form because of constraints originating from Slavnov-Taylor identities of Becchi-Rouet-Stora symmetry. I also determine the behavior of the propagators in the neighborhood of the poles, and give a simple prescription for the coefficients that generalize (to the case with an arbitrary vector-scalar mixing) the standard Z factors of Lehmann, Symanzik and Zimmermann. So obtained generalized Z factors, are indispensable to the correct extraction of physical amplitudes from the amputated correlation functions in the presence of mixing.The standard Rξ gauges form a particularly important subclass of gauges considered in this paper. While the tree-level vector-scalar mixing is, by construction, absent in Rξ gauges, it unavoidably reappears at higher orders. Therefore the prescription for the generalized Z factors given in this paper is directly relevant for the extraction of amplitudes in Rξ gauges. |
| first_indexed | 2024-12-11T14:03:15Z |
| format | Article |
| id | doaj.art-60603d9101cc41b6bfca84c6e6a54147 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-11T14:03:15Z |
| publishDate | 2019-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-60603d9101cc41b6bfca84c6e6a541472022-12-22T01:03:46ZengElsevierNuclear Physics B0550-32132019-06-01943Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gaugeAdrian Lewandowski0Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, SwitzerlandI give explicit formulae for full propagators of vector and scalar fields in a generic spin-1 gauge model quantized in an arbitrary linear covariant gauge. The propagators, expressed in terms of all-order one-particle-irreducible correlation functions, have a remarkably simple form because of constraints originating from Slavnov-Taylor identities of Becchi-Rouet-Stora symmetry. I also determine the behavior of the propagators in the neighborhood of the poles, and give a simple prescription for the coefficients that generalize (to the case with an arbitrary vector-scalar mixing) the standard Z factors of Lehmann, Symanzik and Zimmermann. So obtained generalized Z factors, are indispensable to the correct extraction of physical amplitudes from the amputated correlation functions in the presence of mixing.The standard Rξ gauges form a particularly important subclass of gauges considered in this paper. While the tree-level vector-scalar mixing is, by construction, absent in Rξ gauges, it unavoidably reappears at higher orders. Therefore the prescription for the generalized Z factors given in this paper is directly relevant for the extraction of amplitudes in Rξ gauges.http://www.sciencedirect.com/science/article/pii/S0550321319301026 |
| spellingShingle | Adrian Lewandowski Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge Nuclear Physics B |
| title | Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge |
| title_full | Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge |
| title_fullStr | Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge |
| title_full_unstemmed | Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge |
| title_short | Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge |
| title_sort | vector scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge |
| url | http://www.sciencedirect.com/science/article/pii/S0550321319301026 |
| work_keys_str_mv | AT adrianlewandowski vectorscalarmixingtoallordersforanarbitrarygaugemodelinthegenericlineargauge |