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arXiv · 1910.03567

Influence of exact Lorentz-violating mechanism on the critical exponents for massive $q$-deformed $\lambda\phi^{4}$ scalar field theory

P. R. S. Carvalho·M. I. Sena-Junior
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Abstract

We probe the influence of Lorentz-violating mechanism, treated exactly, on the radiative quantum corrections to critical exponents for massive $q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. We attain that task by employing three distinct and independent field-theoretic renormalization group methods. Firstly we compute the critical exponents up to the finite next-to-leading order for then generalizing the results for any loop level. We show that the $q$-deformed critical exponents are insensible to the Lorentz symmetry breaking mechanism thus agreeing with the universality hypothesis.

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P. R. S. Carvalho, M. I. Sena-Junior. 2019-10-08. Influence of exact Lorentz-violating mechanism on the critical exponents for massive $q$-deformed $\lambda\phi^{4}$ scalar field theory. https://doi.org/10.1142/s0218271819501050

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