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Pregled bibliografske jedinice broj: 910295

Nonassociative Snyder ϕ^4 quantum field theory


Meljanac, Stjepan; Mignemi, Salvatore; Trampetić, Josip; You, Jiangyang
Nonassociative Snyder ϕ^4 quantum field theory // Physical Review D, 96 (2017), 4; 045021, 13 doi:10.1103/physrevd.96.045021 (međunarodna recenzija, članak, znanstveni)


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Naslov
Nonassociative Snyder ϕ^4 quantum field theory

Autori
Meljanac, Stjepan ; Mignemi, Salvatore ; Trampetić, Josip ; You, Jiangyang

Izvornik
Physical Review D (2470-0029) 96 (2017), 4; 045021, 13

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Quantum field theory, Noncommutative field theories

Sažetak
In this article, we define and quantize a truncated form of the nonassociative and noncommutative Snyder ϕ^4 field theory using the functional method in momentum space. More precisely, the action is approximated by expanding up to the linear order in the Snyder deformation parameter β, producing an effective model on commutative spacetime for the computation of the two-, four- and six-point functions. The two- and four-point functions at one loop have the same structure as at the tree level, with UV divergences faster than in the commutative theory. The same behavior appears in the six-point function, with a logarithmic UV divergence and renders the theory unrenormalizable at β^1 order except for the special choice of free parameters s_1=−s_2. We expect effects from nonassociativity on the correlation functions at β^1 order, but these are cancelled due to the average over permutations.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Projekti:
HRZZ-IP-2014-09-9582 - Prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija (Meljanac, Stjepan, HRZZ - 2014-09) ( POIROT)
EK-H2020-692194 - Ruđer Bošković Institute: Twinning for a step forward of the Theoretical Physics Division (RBI-T-WINNING) (NESTI, Fabrizio, EK - H2020-TWINN-2015) ( POIROT)

Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Stjepan Meljanac (autor)

Avatar Url Jiangyang You (autor)

Avatar Url Josip Trampetić (autor)

Poveznice na cjeloviti tekst rada:

doi doi.org journals.aps.org

Citiraj ovu publikaciju:

Meljanac, Stjepan; Mignemi, Salvatore; Trampetić, Josip; You, Jiangyang
Nonassociative Snyder ϕ^4 quantum field theory // Physical Review D, 96 (2017), 4; 045021, 13 doi:10.1103/physrevd.96.045021 (međunarodna recenzija, članak, znanstveni)
Meljanac, S., Mignemi, S., Trampetić, J. & You, J. (2017) Nonassociative Snyder ϕ^4 quantum field theory. Physical Review D, 96 (4), 045021, 13 doi:10.1103/physrevd.96.045021.
@article{article, author = {Meljanac, Stjepan and Mignemi, Salvatore and Trampeti\'{c}, Josip and You, Jiangyang}, year = {2017}, pages = {13}, DOI = {10.1103/physrevd.96.045021}, chapter = {045021}, keywords = {Quantum field theory, Noncommutative field theories}, journal = {Physical Review D}, doi = {10.1103/physrevd.96.045021}, volume = {96}, number = {4}, issn = {2470-0029}, title = {Nonassociative Snyder ϕ\^{}4 quantum field theory}, keyword = {Quantum field theory, Noncommutative field theories}, chapternumber = {045021} }
@article{article, author = {Meljanac, Stjepan and Mignemi, Salvatore and Trampeti\'{c}, Josip and You, Jiangyang}, year = {2017}, pages = {13}, DOI = {10.1103/physrevd.96.045021}, chapter = {045021}, keywords = {Quantum field theory, Noncommutative field theories}, journal = {Physical Review D}, doi = {10.1103/physrevd.96.045021}, volume = {96}, number = {4}, issn = {2470-0029}, title = {Nonassociative Snyder ϕ\^{}4 quantum field theory}, keyword = {Quantum field theory, Noncommutative field theories}, chapternumber = {045021} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus
  • Nature Index


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