Informace o publikaci

Towards removal of striped phase in matrix model description of fuzzy field theories

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TEKEL Juraj ŠUBJAKOVÁ Mária PREKRAT Dragan RANKOVIĆ Dragana TODOROVIĆ-VASOVIĆ N. K. KOVÁČIK Samuel

Rok publikování 2023
Druh Článek ve sborníku
Konference Proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" PoS(CORFU2022)
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://pos.sissa.it/436/310
Doi http://dx.doi.org/10.22323/1.436.0310
Klíčová slova field theory: scalar; sphere: fuzzy; field theory: noncommutative; algebra: Heisenberg; matrix model; Grosse-Wulkenhaar model; kinetic; critical phenomena; nonlocal
Popis The UV/IR-mixing phenomenon of non-commutative field theories is manifested by the existence of a non-local, striped phase in the scalar field theory, where the field does not oscillate around the same value in the whole space. We will consider modifications of the standard "kinetic term plus potential" actions for Hermitian matrix models which describe theories free of the UV/IR-mixing and discuss the expected receding of the striped phase in the phase diagram. We will present results for the case of the modified theory on the fuzzy sphere and for the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model on the plane.

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