scholarly journals Erratum: “Unconventional minimal subtraction and Bogoliubov-Parasyuk-Hepp-Zimmermann method: Massive scalar theory and critical exponents” [J. Math. Phys. 54, 093301 (2013)]

2016 ◽  
Vol 57 (11) ◽  
pp. 119901
Author(s):  
Paulo R. S. Carvalho ◽  
Marcelo M. Leite
Keyword(s):  
Critical Exponents ◽  
Massive Scalar ◽  
Minimal Subtraction ◽  
Scalar Theory ◽  
Math Phys

scholarly journals Unconventional minimal subtraction and Callan–Symanzik methods for Lorentz-violating scalar field theories at all loop orders

2018 ◽  
Vol 15 (05) ◽  
pp. 1850086 ◽  
Author(s):  
G. S. Silva ◽  
P. R. S. Carvalho
Keyword(s):  
Scalar Field ◽  
Critical Exponents ◽  
Field Theories ◽  
Quantum Corrections ◽  
Leading Order ◽  
Minimal Subtraction ◽  
Analytical Computation ◽  
Induction Process ◽  
Time In Literature ◽  
First Time

We present an explicit analytical computation of the quantum corrections, at next-to-leading order, to the critical exponents. We employ for that the Unconventional minimal subtraction, recently proposed, and the Callan–Symanzik methods to probe the universality hypothesis by comparing the outcomes for the critical exponents evaluated in both methods and the ones calculated previously in massless theories renormalized at different renormalization schemes. Furthermore, the consistency of the former method is investigated for the first time in literature, to our knowledge. At the end, we compute the critical exponents at any loop level by an induction process and furnish the physical interpretation of the results.

Critical exponents for Ising-like systems on Sierpinski carpets

1987 ◽  
Vol 48 (4) ◽  
pp. 553-558 ◽  
Author(s):  
B. Bonnier ◽  
Y. Leroyer ◽  
C. Meyers
Keyword(s):  
Critical Exponents ◽  
Sierpinski Carpets
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