Subtractive Renormalization Group Invariance: Pionless EFT at NLO

Journal Article · Fri Nov 12 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3523215· OSTI ID:21506799

Timoteo, Varese S ^[1]; Szpigel, Sergio; Duraes, Francisco O ^[2]

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1. Faculdade de Tecnologia, Universidade Estadual de Campinas (Brazil)
2. Centro de Ciencias e Humanidades-Universidade Presbiteriana Mackenzie (Brazil)

We show some results concerning the renormalization group (RG) invariance of the nucleon-nucleon (NN) interaction in pionless effective field theory at next-to-leading order (NLO), using a non-relativistic Callan-Symanzik equation (NRCS) for the driving term of the Lippmann-Schwinger (LS) equation with three recursive subtractions. The phase-shifts obtained for the RG evolved potential are same as those for the original potential, apart from relative differences of order 10{sup -15}.

• OSTI ID: 21506799
• Journal Information: AIP Conference Proceedings, Vol. 1296, Issue 1; Conference: 11. hadron physics international workshop, Maresias, Sao Paulo (Brazil), 21-26 Mar 2010; Other Information: DOI: 10.1063/1.3523215; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
PHASE SHIFT
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
RENORMALIZATION
WAVE EQUATIONS
BARYON-BARYON INTERACTIONS
BARYONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS