f-Deformed Boson Algebra Related to Gentile Statistics

Influence of exact Lorentz-violating mechanism on the critical exponents for massive q-deformed λϕ4 scalar field theory

“…This theory is a CPT-even aether-like scalar field theory [11][12][13], for which previous results were obtained as its insertion in the Lorentz-violating extension of the standard model, dispersion relations, aether compactification, the one-loop effective potential corresponding to the action of the scalar field etc. In fact, q-deformed systems have attracted great attention in the last few years [14][15][16][17][18][19][20][21][22]. The aim of the present work is to probe the influence of the Lorentz symmetry breaking effect [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37], treated exactly [38][39][40][41], on the q-deformed critical exponents values.…”

Exact Lorentz-violating q-deformed O(N) universality class

“…In fact, this deformation can produce a cosmological constant term in 3d quantum gravity [1] as well as in others problems involving gravity theories [2][3][4][5]. On the other hand, the study of q-deformation has not been constrained only to the gravity scenario but has also attracted great attention in distinct physics research branches in the last few years [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Particularly, in a recent paper [25], the radiative quantum corrections to the critical exponents for q-deformed O(N) λφ 4 scalar field theory were computed up to next-to-leading-order (NLO).…”

Universality hypothesis breakdown at one-loop order

“…For that, we investigate the modified properties of the so called q-deformed OðNÞ self-interacting λϕ 4 scalar field theory [3]. The q deformation idea has motivated applications in many research areas such as relativistic fermion scattering [4], the Ramsauer-Townsend effect [5], Boson algebra related to gentile statistics [6], the Berry phase [7], dark matter and dark energy [8], the Dirac oscillator [9], Yang-Mills theory [10], and cat states [11], to cite just a few examples. The q-deformed scalar field in free space-time is given by…”