Renormalization group functional equations

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.065019· OSTI ID:21537581

Curtright, Thomas L ^[1]; Zachos, Cosmas K ^[2]

---

1. CERN, CH-1211 Geneva 23 (Switzerland)
2. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4815 (United States)

Functional conjugation methods are used to analyze the global structure of various renormalization group trajectories and to gain insight into the interplay between continuous and discrete rescaling. With minimal assumptions, the methods produce continuous flows from step-scaling {sigma} functions and lead to exact functional relations for the local flow {beta} functions, whose solutions may have novel, exotic features, including multiple branches. As a result, fixed points of {sigma} are sometimes not true fixed points under continuous changes in scale and zeroes of {beta} do not necessarily signal fixed points of the flow but instead may only indicate turning points of the trajectories.

• OSTI ID: 21537581
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevD.83.065019; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EQUATIONS
MATHEMATICAL SOLUTIONS
RENORMALIZATION
SCALING
TRAJECTORIES