Limit cycles in four dimensions
Copyright policy )Limit cycles in four dimensions
We present an example of a limit cycle, i.e., a recurrent flow-line of the beta-function vector field, in a unitary four-dimensional gauge theory. We thus prove that beta functions of four-dimensional gauge theories do not produce gradient flows. The limit cycle is established in perturbation theory with a three-loop calculation which we describe in detail.
12 pages, 1 figure. Significant revision of the interpretation of our result. Improved description of three-loop calculation
- University of California, San Francisco United States
- Department of Physics University of California San Diego United States
- University of California System United States
- University of California, San Diego United States
High Energy Physics - Theory, space-time symmetries, FOS: Physical sciences, Conformal and W Symmetry, Atomic, Mathematical Sciences, Yang-Mills and other gauge theories in quantum field theory, Perturbative methods of renormalization applied to problems in quantum field theory, Vaccine Related, Particle and Plasma Physics, High Energy Physics - Phenomenology (hep-ph), Renormalization Group, Nuclear, Mathematical Physics, Quantum Physics, conformal and W symmetry, hep-th, Space-Time Symmetries, Molecular, Particle and High Energy Physics, hep-ph, Nuclear and Plasma Physics, Nuclear & Particles Physics, Nuclear and plasma physics, High Energy Physics - Phenomenology, High Energy Physics - Theory (hep-th), Particle and high energy physics, Mathematical physics, Physical Sciences, renormalization group
High Energy Physics - Theory, space-time symmetries, FOS: Physical sciences, Conformal and W Symmetry, Atomic, Mathematical Sciences, Yang-Mills and other gauge theories in quantum field theory, Perturbative methods of renormalization applied to problems in quantum field theory, Vaccine Related, Particle and Plasma Physics, High Energy Physics - Phenomenology (hep-ph), Renormalization Group, Nuclear, Mathematical Physics, Quantum Physics, conformal and W symmetry, hep-th, Space-Time Symmetries, Molecular, Particle and High Energy Physics, hep-ph, Nuclear and Plasma Physics, Nuclear & Particles Physics, Nuclear and plasma physics, High Energy Physics - Phenomenology, High Energy Physics - Theory (hep-th), Particle and high energy physics, Mathematical physics, Physical Sciences, renormalization group
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