Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
| Parent link: | Symmetry.— .— Basel: MDPI Vol. 15, iss. 12.— 2024.— Article number 2124, 40 p. |
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| Yhteenveto: | Title screen We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on d-dimensional Minkowski space. We consider two different cases for interacting higher spin fields: with one massive and two massless; two massive, both with coinciding and with different masses and one massless field of spins 𝑠1,𝑠2,𝑠3. Unlike the previous results on cubic vertices we extend our earlier result in (Buchbinder, I.L.; et al. Phys. Lett. B 2021, 820, 136470) for massless fields and employ the complete BRST operator, including the trace constraints, which is used to formulate an irreducible representation with definite integer spin. We generalize the cubic vertices proposed for reducible higher spin fields in (Metsaev, R.R. Phys. Lett. B 2013, 720, 237) in the form of multiplicative and non-multiplicative BRST-closed constituents and calculate the new contributions to the vertex, which contains the additional terms with a smaller number of space-time derivatives. We prove that without traceless conditions for the cubic vertices in (Metsaev, R.R. Phys. Lett. B 2013, 720, 237) it is impossible to provide the noncontradictory Lagrangian dynamics and find explicit traceless solution for these vertices. As the examples, we explicitly construct the interacting Lagrangians for the massive spin of the s field and the massless scalars, both with and without auxiliary fields. The interacting models with different combinations of triples higher spin fields: massive spin s with massless scalar and vector fields and with two vector fields; massless helicity 𝜆 with massless scalar and massive vector fields; two massive fields of spins 𝑠, 0 and massless scalar is also considered Текстовый файл |
| Kieli: | englanti |
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2024
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| Linkit: | https://doi.org/10.3390/sym15122124 |
| Aineistotyyppi: | Elektroninen Kirjan osa |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=672111 |
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| 200 | 1 | |a Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields |f I. L. Bukhbinder, A. A. Reshetnyak | |
| 203 | |a Текст |c электронный |b визуальный | ||
| 283 | |a online_resource |2 RDAcarrier | ||
| 300 | |a Title screen | ||
| 320 | |a References: 81 tit. | ||
| 330 | |a We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on d-dimensional Minkowski space. We consider two different cases for interacting higher spin fields: with one massive and two massless; two massive, both with coinciding and with different masses and one massless field of spins 1,2,3. Unlike the previous results on cubic vertices we extend our earlier result in (Buchbinder, I.L.; et al. Phys. Lett. B 2021, 820, 136470) for massless fields and employ the complete BRST operator, including the trace constraints, which is used to formulate an irreducible representation with definite integer spin. We generalize the cubic vertices proposed for reducible higher spin fields in (Metsaev, R.R. Phys. Lett. B 2013, 720, 237) in the form of multiplicative and non-multiplicative BRST-closed constituents and calculate the new contributions to the vertex, which contains the additional terms with a smaller number of space-time derivatives. We prove that without traceless conditions for the cubic vertices in (Metsaev, R.R. Phys. Lett. B 2013, 720, 237) it is impossible to provide the noncontradictory Lagrangian dynamics and find explicit traceless solution for these vertices. As the examples, we explicitly construct the interacting Lagrangians for the massive spin of the s field and the massless scalars, both with and without auxiliary fields. The interacting models with different combinations of triples higher spin fields: massive spin s with massless scalar and vector fields and with two vector fields; massless helicity with massless scalar and massive vector fields; two massive fields of spins , 0 and massless scalar is also considered | ||
| 336 | |a Текстовый файл | ||
| 461 | 1 | |t Symmetry |n MDPI |c Basel | |
| 463 | 1 | |t Vol. 15, iss. 12 |v Article number 2124, 40 p. |d 2024 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a higher spin field theory | |
| 610 | 1 | |a multidimensional Minkowski spaces | |
| 610 | 1 | |a Lagrangian formulation | |
| 610 | 1 | |a BRST operator | |
| 610 | 1 | |a gauge invariance | |
| 610 | 1 | |a cubic interaction vertices | |
| 610 | 1 | |a sparse array optimization | |
| 700 | 1 | |a Bukhbinder |b I. L. |g Iosif Lvovich | |
| 701 | 1 | |a Reshetnyak |b А. А. |c physicist |c Associate Professor of Tomsk Polytechnic University, Candidate of Physical and Mathematical Sciences |f 1970- |g Aleksandr Aleksandrovich |y Tomsk |9 88518 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |c (2009- ) |9 26305 |
| 801 | 0 | |a RU |b 63413507 |c 20240408 |g RCR | |
| 856 | 4 | 0 | |u https://doi.org/10.3390/sym15122124 |z https://doi.org/10.3390/sym15122124 |
| 942 | |c CR | ||