Renormalization group properties of scalar field theories using gradient flow

Carosso, Andrea; Hasenfratz, Anna; Neil, Ethan T

doi:10.22323/1.334.0248

Title: Renormalization group properties of scalar field theories using gradient flow

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Abstract

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.

Authors:

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

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

Publication Date:: Wed May 29 00:00:00 EDT 2019

Research Org.:: Univ. of Colorado, Boulder, CO (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1607687

Grant/Contract Number:: SC0010005; SC0012704

Resource Type:: Accepted Manuscript

Journal Name:: PoS - Proceedings of Science

Additional Journal Information:: Journal Volume: 334; Conference: 36. Annual International Symposium on Lattice Field Theory (LATTICE2018), East Lansing, MI (United States), 22-28 Jul 2018; Journal ID: ISSN 1824-8039

Publisher:: SISSA

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; lattice field theory; renormalization group

Citation Formats


                    Carosso, Andrea, Hasenfratz, Anna, and Neil, Ethan T. Renormalization group properties of scalar field theories using gradient flow.  United States: N. p., 2019. 
Web.  doi:10.22323/1.334.0248.

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                    Carosso, Andrea, Hasenfratz, Anna, & Neil, Ethan T. Renormalization group properties of scalar field theories using gradient flow.  United States.  https://doi.org/10.22323/1.334.0248

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                    Carosso, Andrea, Hasenfratz, Anna, and Neil, Ethan T. Wed .  
"Renormalization group properties of scalar field theories using gradient flow".  United States.  https://doi.org/10.22323/1.334.0248.  https://www.osti.gov/servlets/purl/1607687.

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@article{osti_1607687,

  title        = {Renormalization group properties of scalar field theories using gradient flow},

  author       = {Carosso, Andrea and Hasenfratz, Anna and Neil, Ethan T},

  abstractNote = {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.},

  doi          = {10.22323/1.334.0248},

  journal      = {PoS - Proceedings of Science},

  number       = ,

  volume       = 334,

  place        = {United States},

  year         = {Wed May 29 00:00:00 EDT 2019},

  month        = {Wed May 29 00:00:00 EDT 2019}

}

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