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We fulfill the detailed analysis of coupling the charged bosonic higher spin fields to external constant electromagnetic field in first order in external field strength. Cubic interaction vertex of arbitrary massive and massless bosonic…

High Energy Physics - Theory · Physics 2015-06-04 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We describe basic types of free fields (1) neutral scalar bosons; (2) massive vector bosons; (3) massless vector bosons; (4) charged scalar bosons; (5) Dirac fermions; (6) Majorana fermions. We also consider free field perturbed by a linear…

Mathematical Physics · Physics 2015-06-16 Jan Dereziński

Consistent interactions for off-shell fermion fields of arbitrary spin are constructed from the gauge-invariance requirement of the interaction Lagrangians. These interactions play a crucial role in the quantum hadrodynamical description of…

Nuclear Theory · Physics 2012-07-13 Tom Vrancx , Lesley De Cruz , Jan Ryckebusch , Pieter Vancraeyveld

This is a discussion on degrees of freedom of massless fermion and boson fields, if they are free or weakly interacting. We generalize the gauge fields of $S^{ab}$ - $\omega_{abc}$ - and of $\tilde{S}^{ab}$ - $ \tilde{\omega}_{abc}$ - of…

High Energy Physics - Theory · Physics 2016-03-30 N. S. Mankoc Borstnik , H. B. F. Nielsen

We construct vertex operators for massless higher spin fields in RNS superstring theory and compute some of their three-point correlators, describing gauge-invariant cubic interactions of the massless higher spins. The Fierz-Pauli on-shell…

High Energy Physics - Theory · Physics 2014-11-20 Dimitri Polyakov

Massive and massless arbitrary integer spin fields propagating in four-dimensional flat space are studied. The massive and massless fields are treated by using a light-cone gauge helicity basis formalism. Cubic cross-interactions between…

High Energy Physics - Theory · Physics 2022-10-05 R. R. Metsaev

Recently, the generating system that describes interacting symmetric higher-spin gauge fields at the level of equations of motion was proposed. The interaction vertices it offers are 'off the mass shell' unless constrained by the prescribed…

High Energy Physics - Theory · Physics 2025-02-21 V. E. Didenko , M. A. Povarnin

The fuzzy-sphere regularisation is a powerful tool to study conformal field theories (CFT) in three spacetime dimensions. In this paper, we extend its scope to CFTs with local fermionic operators. We realise the free-Majorana-fermion CFT on…

High Energy Physics - Theory · Physics 2026-02-27 Zheng Zhou , Davide Gaiotto , Yin-Chen He

A recently proposed path-integral bosonization scheme for massive fermions in $3$ dimensions is extended by keeping the full momentum-dependence of the one-loop vacuum polarization tensor. This makes it possible to discuss both the massive…

High Energy Physics - Theory · Physics 2009-10-28 D. G. Barcy , C. D. Fosco , L. E. Oxman

Using light-cone gauge formulation, massive arbitrary spin irreducible fields and massless (scalar and one-half spin) fields in three-dimensional flat space are considered. Both the integer spin and half-integer spin fields are studied. For…

High Energy Physics - Theory · Physics 2020-10-28 R. R. Metsaev

Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N=1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such…

High Energy Physics - Theory · Physics 2021-05-12 I. L. Buchbinder , V. A. Krykhtin , Mirian Tsulaia , Dorin Weissman

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…

High Energy Physics - Theory · Physics 2024-09-04 Ioseph L. Buchbinder , Alexander A. Reshetnyak

In this paper we elaborate on higher spin cubic interactions for massless, massive and partially massless fields. We work in the gauge invariant frame-like multispinor formalism, combining Lagrangian and unfolded formulations.

High Energy Physics - Theory · Physics 2021-11-09 Yu. M. Zinoviev

One-dimensional spinless Bose and Fermi gases with contact interactions have the close interrelation via Girardeau's Bose-Fermi mapping, leading to the correspondences in their energy spectra and thermodynamics. However, correlation…

Quantum Gases · Physics 2018-01-19 Yuta Sekino , Shina Tan , Yusuke Nishida

In this article, we explicitly compute in momentum space the three and four-point correlation functions involving scalar and spinning operators in the free bosonic and the free fermionic theory in three dimensions. We also evaluate the…

High Energy Physics - Theory · Physics 2020-11-18 Sachin Jain , Renjan Rajan John , Vinay Malvimat

We derive light-cone cubic interaction vertices involving fermions and bosons of arbitrary spin by demanding closure of the Poincar\'e algebra. We derive the three-point scattering amplitude corresponding to these interaction vertices and…

High Energy Physics - Theory · Physics 2020-02-25 Y. S. Akshay , Sudarshan Ananth

We use a bosonization approach to show that the momentum distribution $n_{\bf{k}}$ of normal Fermi systems with sufficiently singular interactions is analytic in the vicinity of the non-interacting Fermi surface. These include singular…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

We investigate in detail the interaction between the spin-${1/2}$ fields endowed with mass dimension one and the graviton. We obtain an interaction vertex that combines the characteristics of scalar-graviton and Dirac's fermion-graviton…

High Energy Physics - Phenomenology · Physics 2019-12-17 R. J. Bueno Rogerio , R. de C. Lima , L. Duarte , J. M. Hoff da Silva , M. Dias , C. R. Senise

We study actions for massive bosonic particles of higher spins by dimensionally reducing an action for massless particles. For the latter we take a model with a SO(N) extended local supersymmetry on the worldline, that is known to describe…

High Energy Physics - Theory · Physics 2015-06-22 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular,…

High Energy Physics - Theory · Physics 2013-08-09 E. F. Moreno , F. A. Schaposnik