BRST-BFV and BRST-BV descriptions for bosonic fields with continuous spin on R-1,R-d-1

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00348655" target="_blank" >RIV/68407700:21340/20:00348655 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1142/S0217751X20501547" target="_blank" >https://doi.org/10.1142/S0217751X20501547</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217751X20501547" target="_blank" >10.1142/S0217751X20501547</a>

Jazyk výsledku

angličtina

Název v původním jazyce

BRST-BFV and BRST-BV descriptions for bosonic fields with continuous spin on R-1,R-d-1

Popis výsledku v původním jazyce

Gauge-invariant descriptions for a free bosonic scalar field of continuous spin in a d-dimensional Minkowski space-time using a metric-like formulation are constructed on the basis of a constrained BRST-BFV approach we propose. The resulting BRST-BFV equations of motion for a scalar field augmented by ghost operators contain different sets of auxiliary fields, depending on the manner of a partial gauge-fixing and a resolution of some of the equations of motion for a BRST-unfolded first stage reducible gauge theory. To achieve the equivalence of the resulting BRST-unfolded constrained equations of motion with the initial irreducible Poincare group conditions of a Bargmann-Wigner type, it is demonstrated that one should replace the field in these conditions by a class of gauge-equivalent configurations. Triplet-like, doublet-like constrained descriptions, as well as an unconstrained quartet-like non-Lagrangian and Lagrangian formulations, are derived using both Fronsdal-like and new tensor fields. In particular, the BRST-BV equations of motion and Lagrangian using an appropriate set of Lagrangian multipliers in the minimal sector of the respective field and anti-field configurations are constructed in a manifest way.

Název v anglickém jazyce

BRST-BFV and BRST-BV descriptions for bosonic fields with continuous spin on R-1,R-d-1

Popis výsledku anglicky

Gauge-invariant descriptions for a free bosonic scalar field of continuous spin in a d-dimensional Minkowski space-time using a metric-like formulation are constructed on the basis of a constrained BRST-BFV approach we propose. The resulting BRST-BFV equations of motion for a scalar field augmented by ghost operators contain different sets of auxiliary fields, depending on the manner of a partial gauge-fixing and a resolution of some of the equations of motion for a BRST-unfolded first stage reducible gauge theory. To achieve the equivalence of the resulting BRST-unfolded constrained equations of motion with the initial irreducible Poincare group conditions of a Bargmann-Wigner type, it is demonstrated that one should replace the field in these conditions by a class of gauge-equivalent configurations. Triplet-like, doublet-like constrained descriptions, as well as an unconstrained quartet-like non-Lagrangian and Lagrangian formulations, are derived using both Fronsdal-like and new tensor fields. In particular, the BRST-BV equations of motion and Lagrangian using an appropriate set of Lagrangian multipliers in the minimal sector of the respective field and anti-field configurations are constructed in a manifest way.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Modern Physics A

ISSN

0217-751X

e-ISSN

1793-656X

Svazek periodika

35

Číslo periodika v rámci svazku

26

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

59

Strana od-do

—

Kód UT WoS článku

000574946600001

EID výsledku v databázi Scopus

2-s2.0-85091987267