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Pregled bibliografske jedinice broj: 1016062

UV-IR mixing in nonassociative Snyder ϕ^4 theory


Meljanac, Stjepan; Mignemi, Slavatore; Trampetic, Josip; You, Jiangyang
UV-IR mixing in nonassociative Snyder ϕ^4 theory // Physical review. D, 97 (2018), 5; 055041, 12 doi:10.1103/PhysRevD.97.055041 (međunarodna recenzija, članak, znanstveni)


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Naslov
UV-IR mixing in nonassociative Snyder ϕ^4 theory

Autori
Meljanac, Stjepan ; Mignemi, Slavatore ; Trampetic, Josip ; You, Jiangyang

Izvornik
Physical review. D (2470-0010) 97 (2018), 5; 055041, 12

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

Ključne riječi
noncommutative field theories ; quantum field theory

Sažetak
Using a quantization of the nonassociative and noncommutative Snyder ϕ^4 scalar field theory in a Hermitian realization, we present in this article analytical formulas for the momentum-conserving part of the one-loop two-point function of this theory in D-, 4-, and 3-dimensional Euclidean spaces, which are exact with respect to the noncommutative deformation parameter β. We prove that these integrals are regularized by the Snyder deformation. These results indicate that the Snyder deformation does partially regularize the UV divergences of the undeformed theory, as it was proposed decades ago. Furthermore, it is observed that different nonassociative ϕ^4 products can generate different momentum-conserving integrals. Finally, most importantly, a logarithmic infrared divergence emerges in one of these interaction terms. We then analyze sample momentum nonconserving integral qualitatively and show that it could exhibit IR divergence too. Therefore, infrared divergences should exist, in general, in the Snyder ϕ^4 theory. We consider infrared divergences at the limit p→0 as UV/IR mixings induced by nonassociativity, since they are associated to the matching UV divergence in the zero-momentum limit and appear in specific types of nonassociative ϕ^4 products. We also discuss the extrapolation of the Snyder deformation parameter β to negative values as well as certain general properties of one-loop quantum corrections in Snyder ϕ^4 theory at the zero-momentum limit.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Projekti:
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)
HRZZ-IP-2014-09-9582 - Prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija (Meljanac, Stjepan, HRZZ - 2014-09) ( POIROT)

Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Stjepan Meljanac (autor)

Avatar Url Jiangyang You (autor)

Avatar Url Josip Trampetić (autor)

Citiraj ovu publikaciju:

Meljanac, Stjepan; Mignemi, Slavatore; Trampetic, Josip; You, Jiangyang
UV-IR mixing in nonassociative Snyder ϕ^4 theory // Physical review. D, 97 (2018), 5; 055041, 12 doi:10.1103/PhysRevD.97.055041 (međunarodna recenzija, članak, znanstveni)
Meljanac, S., Mignemi, S., Trampetic, J. & You, J. (2018) UV-IR mixing in nonassociative Snyder ϕ^4 theory. Physical review. D, 97 (5), 055041, 12 doi:10.1103/PhysRevD.97.055041.
@article{article, author = {Meljanac, Stjepan and Mignemi, Slavatore and Trampetic, Josip and You, Jiangyang}, year = {2018}, pages = {12}, DOI = {10.1103/PhysRevD.97.055041}, chapter = {055041}, keywords = {noncommutative field theories, quantum field theory}, journal = {Physical review. D}, doi = {10.1103/PhysRevD.97.055041}, volume = {97}, number = {5}, issn = {2470-0010}, title = {UV-IR mixing in nonassociative Snyder ϕ\^{}4 theory}, keyword = {noncommutative field theories, quantum field theory}, chapternumber = {055041} }
@article{article, author = {Meljanac, Stjepan and Mignemi, Slavatore and Trampetic, Josip and You, Jiangyang}, year = {2018}, pages = {12}, DOI = {10.1103/PhysRevD.97.055041}, chapter = {055041}, keywords = {noncommutative field theories, quantum field theory}, journal = {Physical review. D}, doi = {10.1103/PhysRevD.97.055041}, volume = {97}, number = {5}, issn = {2470-0010}, title = {UV-IR mixing in nonassociative Snyder ϕ\^{}4 theory}, keyword = {noncommutative field theories, quantum field theory}, chapternumber = {055041} }

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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