TY - JOUR
T1 - Gradient flow exact renormalization group
AU - Sonoda, Hidenori
AU - Suzuki, Hiroshi
N1 - Funding Information:
This work was initiated during the 10th International Conference on Exact Renormalization Group 2020 (ERG2020). We would like to thank the organizers and the Yukawa Institute for Theoretical Physics at Kyoto University for support (YITP-W-20-09). This work was partially supported by Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research Grant Numbers JP16H03982 and JP20H01903.
Publisher Copyright:
© 2021 The Author(s). Published by Oxford University Press on behalf of the Physical Society of Japan.
PY - 2021/2/1
Y1 - 2021/2/1
N2 - The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of the Wilson action in the exact renormalization group (ERG) formalism. By imitating the structure of this connection, we propose an ERG differential equation that preserves manifest gauge invariance in Yang-Mills theory. Our construction in continuum theory can be extended to lattice gauge theory.
AB - The gradient flow bears a close resemblance to the coarse graining, the guiding principle of the renormalization group (RG). In the case of scalar field theory, a precise connection has been made between the gradient flow and the RG flow of the Wilson action in the exact renormalization group (ERG) formalism. By imitating the structure of this connection, we propose an ERG differential equation that preserves manifest gauge invariance in Yang-Mills theory. Our construction in continuum theory can be extended to lattice gauge theory.
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U2 - 10.1093/ptep/ptab006
DO - 10.1093/ptep/ptab006
M3 - Article
AN - SCOPUS:85109970013
SN - 2050-3911
VL - 2021
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
IS - 2
M1 - 023B05
ER -