Unconventional minimal subtraction and Bogoliubov-Parasyuk-Hepp-Zimmermann method: Massive scalar theory and critical exponents

DOI10.1063/1.4819259zbMath1287.81084OpenAlexW1985331034MaRDI QIDQ5409685

Paulo R. S. Carvalho, Marcelo M. Leite

Publication date: 14 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4819259

zbMATH Keywords

Euclidean spacedimensional renormalizationscalar quantum field theoryBPHZ method

Mathematics Subject Classification ID

Model quantum field theories (81T10) Critical exponents in context of PDEs (35B33) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Constructive quantum field theory (81T08)

Related Items (2)

Unconventional minimal subtraction and Callan–Symanzik methods for Lorentz-violating scalar field theories at all loop orders ⋮ Erratum: “Unconventional minimal subtraction and Bogoliubov-Parasyuk-Hepp-Zimmermann method: Massive scalar theory and critical exponents” [J. Math. Phys. 54, 093301 (2013)]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
• Callan-Symanzik-Lifshitz approach to generic competing systems
• Callan-Symanzik method for \(m\)-axial Lifshitz points
• Weighted power counting and Lorentz violating gauge theories. II: Classification
• Minimal subtraction and the Callan-Symanzik equation
• Convergence of Bogoliubov's method of renormalization in momentum space
• Critical exponents from parallel plate geometries subject to periodic and antiperiodic boundary conditions
• Quantum Electrodynamics at Small Distances

This page was built for publication: Unconventional minimal subtraction and Bogoliubov-Parasyuk-Hepp-Zimmermann method: Massive scalar theory and critical exponents