Journal
ANNALS OF PHYSICS
Volume 349, Issue -, Pages 374-394Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2014.06.024
Keywords
Lattice quantum field theory; Renormalization group; Non-perturbative fixed point; Sigma models
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Funding
- DFG-Research Training Group Quantum- and Gravitational Fields [GRK 1523]
- DFG [Wi777/11]
- Helmholtz International Center for FAIR within the LOEWE initiative of the State of Hesse
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We study the non-perturbative renormalization group flow of the nonlinear O(N) sigma model in two and three spacetime dimensions using a scheme that combines an effective local Hybrid Monte Carlo update routine, blockspin transformations and a Monte Carlo demon method. In two dimensions our results verify perturbative renormalizability. In three dimensions, we determine the flow diagram of the theory for various N and different truncations and find a non-trivial fixed point, which indicates non-perturbative renormalizability. It is related to the well-studied phase transition of the O(N) universality class and characterizes the continuum physics of the model. We compare the obtained renormalization group flows with recent investigations by means of the Functional Renormalization Group. (C) 2014 Elsevier Inc. All rights reserved.
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