1.

Critical exponents and amplitude ratios of scalar nonextensive $q$field theories
/ Carvalho, P. R. S.
We compute the radiative quantum corrections to the critical exponents and amplitude ratios for $O\left(N\right)$ $\lambda {\varphi}^{4}$ scalar high energy nonextensive $q$field theories. [...]
Published in Physical Review D 98 (2018)
10.1103/PhysRevD.98.085019
arXiv:1810.02349
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2.

Universality hypothesis breakdown at oneloop order
/ Carvalho, P. R. S.
We probe the universality hypothesis by analytically computing the at least twoloop corrections to the critical exponents for $q$deformed $O\left(N\right)$ selfinteracting $\lambda {\varphi}^{4}$ scalar field theories through six distinct and independent fieldtheoretic renormalization group methods and $\epsilon $expansion techniques. [...]
Published in Physical Review D 97 (2018)
10.1103/PhysRevD.97.105006
arXiv:1804.07801
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3.

Probing the twoscalefactor universality hypothesis by exact rotation symmetrybreaking mechanism
/ Neto, J. F. S. ; Lima, K. A. L. ; Carvalho, P. R. S. ; SenaJunior, M. I.
We probe the twoscalefactor universality hypothesis by evaluating, firstly explicitly and analytically at the oneloop order, the loop quantum corrections to the amplitude ratios for O ( N ) λϕ4 scalar field theories with rotation symmetry breaking in three distinct and independent methods in which the rotation symmetrybreaking mechanism is treated exactly. [...]
Published in EPJC 77 (2017) 839
10.1140/epjc/s100520175427z
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4.

Exact Lorentzviolating allloop ultraviolet divergences in scalar field theories
/ Carvalho, P. R. S. ; SenaJunior, M. I.
In this work we evaluate analytically the ultraviolet divergences of Lorentzviolating massive O( N ) λϕ4 scalar field theories, which are exact in the Lorentzviolating mechanism, firstly explicitly at nexttoleading order and latter at any loop level through an induction procedure based on a theorem following from the exact approach, for computing the corresponding critical exponents. [...]
Published in EPJC 77 (2017) 753
10.1140/epjc/s1005201753049
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5.

Threeloop field renormalization for scalar field theory with Lorentz violation
/ Carvalho, Paulo R.S.
Applying the counterterm method in minimal subtraction scheme we calculate the threeloop quantum correction to field anomalous dimension in a Lorentzviolating O( N ) selfinteracting scalar field theory. [...]
Published in Physics letters B 730 (2014) 320325
10.1016/j.physletb.2014.01.059
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