Searching for continuous phase transitions in 5D SU(2) lattice gauge theory

Journal of High Energy Physics

Adrien Florio¹  José Matos²  João M. Viana P. Lopes²  João Penedones³ 

[1] Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook University, Stony Brook, 11794, New York, USA;Centro de Física das Universidades do Porto, University of Porto, 4169-007, Porto, Portugal;Field and String Laboratory, Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015, Lausanne, Switzerland;

关键词: Conformal Field Theory;    Field Theories in Higher Dimensions;    Lattice Quantum Field Theory;    Renormalization Group;   

DOI  :  10.1007/JHEP12(2021)076

来源: Springer

【 摘 要 】

We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + ϵ expansion. The extensions correspond to new terms in the action: i) a unit size plaquette in the adjoint representation or ii) a two-unit sided square plaquette in the fundamental representation. We use Monte Carlo to sample the first and second derivative of the entropy near the confinement phase transition, with lattices up to 125. While we exclude the presence of a second order phase transition in the parameter space we sampled for model i), our data is not conclusive in some regions of the parameter space of model ii).

【 授权许可】

CC BY