Constraining momentum space correlators using slightly broken higher spin symmetry
Sachin Jain (Indian Institute of Science Education and Research, Homi Bhabha Road, Pashan, Pune, 411 008, India); Renjan John (Indian Institute of Science Education and Research, Homi Bhabha Road, Pashan, Pune, 411 008, India, I.N.F.N. — sezione di Torino, Via P. Giuria 1, Torino, I-10125, Italy, Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, Viale T. Michel 11, Alessandria, I-15121, Italy); Vinay Malvimat (Indian Institute of Science Education and Research, Homi Bhabha Road, Pashan, Pune, 411 008, India)
In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic and quasi-bosonic theories. The direct Feynman diagram approach to computing correlation functions is intricate and in general has been performed only in specific kinematic regimes. We use higher spin equations to obtain the parity even and parity odd contributions to two-, three- and four-point correlators involving spinning and scalar operators in a general kinematic regime, and match our results with existing results in the literature for cases where they are available.
