The Yang-Mills gradient flow in finite volume
By Zoltán Fodor, K. Holland, J. Kuti, Dániel Nógrádi, C. Wong. 2012
145 citations recorded by the source corpus.
A bstractThe Yang-Mills gradient flow is considered on the four dimensional torus T4 for SU(N) gauge theory coupled to Nf flavors of massless fermions in arbitrary representations. The small volume dynamics is dominated by the constant gauge fields. The expectation value of the field strength tensor squared TrFμνFμν (t) is calculated for positive flow time t by treating the non-zero gauge modes perturbatively and the zero modes exactly. The finite volume correction to the infinite volume result is found to contain both algebraic and exponential terms. The leading order result is then used to define a one parameter family of running coupling schemes in which the coupling runs with the linear size of the box. The new scheme is tested numerically in SU(3) gauge theory coupled to Nf = 4 flavors of massless fundamental fermions. The calculations are performed at several lattice spacings with a controlled continuum extrapolation. The continuum result agrees with the perturbative prediction for small renormalized coupling as expected.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c59067b35e212e963a21814daeb77b9bde27f16f
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In Nuclear and High Energy Physics
- Giacomo Cacciapaglia
- Claudio Pica
- Rainer Sommer
- Francesco Sannino
- Stephen R. Sharpe
- M. Morte
- A. Vladikas
- P. Dimopoulos
Citations in the corpus
- FLAG Review 2019 (2019, unknown): “for some fixed number c [716].”
- Fundamental composite dynamics: A review (2020, background): “The n f = 12 case has been studied extensively by several groups by a variety of different methods [327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 326].”
- Review of lattice results concerning low-energy particle physics (2016, methodology): “Furthermore, we may expect a significant reduction of errors due to new definitions of running couplings [591,592] using the Yang Mills gradient flow [245].”