PT-symmetric quantum field theory on the noncommutative spacetime

Standard

PT-symmetric quantum field theory on the noncommutative spacetime. / Novikov, Oleg O. .

In: Modern Physics Letters A, Vol. 35, No. 5, 2050012, 2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{7fd892c5800e499b9314d3fb986fdf74,

title = "PT-symmetric quantum field theory on the noncommutative spacetime",

abstract = "We consider the -symmetric quantum field theory on the noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation. We explore the differences between internal and spatial parities in the context of the angular twist and for the latter we find new -symmetric interactions that are nontrivial only for the noncommutative spacetime. We reproduce the same formula for the leading order T-matrix of the equivalent Hermitian model as the one obtained earlier for the quantum field theory on the commutative spacetime. This formula implies that the leading order scattering amplitude preserves the symmetries of the noncommutative geometry if they are not broken in the non-Hermitian formulation.",

keywords = "PT симметрия, неэрмитовые гамильтонианы, некоммутативная геометрия, PT symmetry, non-Hermitian Hamiltonians, noncommutative geometry, non-Hermitian Hamiltonian",

author = "Novikov, {Oleg O.}",

year = "2020",

doi = "10.1142/S0217732320500121",

language = "English",

volume = "35",

journal = "Modern Physics Letters A",

issn = "0217-7323",

publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

number = "5",

}

RIS

TY - JOUR

T1 - PT-symmetric quantum field theory on the noncommutative spacetime

AU - Novikov, Oleg O.

PY - 2020

Y1 - 2020

N2 - We consider the -symmetric quantum field theory on the noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation. We explore the differences between internal and spatial parities in the context of the angular twist and for the latter we find new -symmetric interactions that are nontrivial only for the noncommutative spacetime. We reproduce the same formula for the leading order T-matrix of the equivalent Hermitian model as the one obtained earlier for the quantum field theory on the commutative spacetime. This formula implies that the leading order scattering amplitude preserves the symmetries of the noncommutative geometry if they are not broken in the non-Hermitian formulation.

AB - We consider the -symmetric quantum field theory on the noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation. We explore the differences between internal and spatial parities in the context of the angular twist and for the latter we find new -symmetric interactions that are nontrivial only for the noncommutative spacetime. We reproduce the same formula for the leading order T-matrix of the equivalent Hermitian model as the one obtained earlier for the quantum field theory on the commutative spacetime. This formula implies that the leading order scattering amplitude preserves the symmetries of the noncommutative geometry if they are not broken in the non-Hermitian formulation.

KW - PT симметрия

KW - неэрмитовые гамильтонианы

KW - некоммутативная геометрия

KW - PT symmetry

KW - non-Hermitian Hamiltonians

KW - noncommutative geometry

KW - non-Hermitian Hamiltonian

UR - http://www.scopus.com/inward/record.url?scp=85074171656&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/ptsymmetric-quantum-field-theory-noncommutative-spacetime

U2 - 10.1142/S0217732320500121

DO - 10.1142/S0217732320500121

M3 - Article

VL - 35

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 5

M1 - 2050012

ER -

ID: 47725111