Computing the effective action with the functional renormalization group

Autor(es)

Codello, Alessandro ^{[1, 2]} ; Percacci, Roberto ^{[3, 4]} ; Rachwal, Leslaw ^[5] ; Tonero, Alberto ^{[6, 7]}

Afiliação do(s) autor(es)

^[1] Univ Southern Denmark, Origins CP3, Campusvej 55, DK-5230 Odense - Denmark

^[2] Univ Southern Denmark, Danish IAS, Campusvej 55, DK-5230 Odense - Denmark

^[3] Ist Nazl Fis Nucl, Sez Trieste, Trieste - Italy

^[4] SISSA, Via Bonomea 265, I-34136 Trieste - Italy

^[5] Fudan Univ, Dept Phys, Ctr Field Theory & Particle Phys, Shanghai 200433 - Peoples R China

^[6] ICTP SAIFR, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo - Brazil

^[7] IFT, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 76, n. 4 APR 25 2016.
• Citações Web of Science: 17

Resumo

The ``exact{''} or ``functional{''} renormalization group equation describes the renormalization group flow of the effective average action Gamma(k). The ordinary effective action Gamma(0) can be obtained by integrating the flow equation from an ultraviolet scale k = Lambda downto k = 0. We give several examples of such calculations at one-loop, both in renormalizable and in effective field theories. We reproduce the four-point scattering amplitude in the case of a real scalar field theory with quartic potential and in the case of the pion chiral Lagrangian. In the case of gauge theories, we reproduce the vacuum polarization of QED and of Yang-Mills theory. We also compute the two-point functions for scalars and gravitons in the effective field theory of scalar fields minimally coupled to gravity. (AU)

• Processo FAPESP: 13/02404-1 - Phenomenologia do Large Hadron Collider
• Beneficiário: Alberto Tonero
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/11973-4 - ICTP Instituto Sul-Americano para Pesquisa Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Linha de fomento: Auxílio à Pesquisa - Temático