Renormalization group properties of scalar field theories using gradient flow

Journal Article · Wed May 29 00:00:00 EDT 2019 · PoS - Proceedings of Science

DOI:https://doi.org/10.22323/1.334.0248· OSTI ID:1607687

Carosso, Andrea ^[1]; Hasenfratz, Anna ^[1]; Neil, Ethan T ^[2]

---

1. Univ. of Colorado, Boulder, CO (United States). Dept. of Physics
2. Univ. of Colorado, Boulder, CO (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN BNL Research Center

Gradient flow has proved useful in the definition and measurement of renormalized quantities on the lattice. Recently, the fact that it suppresses high-modes of the field has been used to construct new, continuous RG transformations both analytically and on the lattice, distinct from the usual blocking techniques in spin models and gauge theories. In this work, we discuss such a formulation for scalar field theory, and we present preliminary numerical results for its application to the determination of critical exponents at the Wilson-Fisher fixed point of three-dimensional $$\phi$$4 theory.

• Research Organization: Univ. of Colorado, Boulder, CO (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010005; SC0012704
• OSTI ID: 1607687
• Journal Information: PoS - Proceedings of Science, Vol. 334; Conference: 36. Annual International Symposium on Lattice Field Theory (LATTICE2018), East Lansing, MI (United States), 22-28 Jul 2018; ISSN 1824-8039
• Publisher: SISSA
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
lattice field theory
renormalization group