Special Issue: Selected Papers of Workshop in Memory of Sakata. Part 1No Access

Recent results on renormalization-group evolution of theories with gauge, fermion, and scalar fields

R. Shrock

C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY 11794, USA

E-mail Address: robert.shrock@stonybrook.edu

https://doi.org/10.1142/S0217751X17470078Cited by:1 (Source: Crossref)

Abstract

We discuss recent results on renormalization-group evolution of several types of theories. First, we consider asymptotically free vectorial gauge theories with various fermion contents and discuss higher-loop calculations of the UV to IR evolution in these theories, including an IR zero of the beta function and the value of the anomalous dimension $γ_{m}$ at this point, together with comparisons with lattice measurements. Effects of scheme transformations are discussed. We then present a novel way to determine the value of $N_{T C}$ in an $SU (N_{T C})$ technicolor model from a particular embedding in an extended technicolor theory. Finally, we analyze the renormalization-group behavior of several non-asymptotically free theories, including a U(1) gauge theory, a non-Abelian gauge theory with many fermions, an $O (N)$ $λ | \vec{ϕ} |^{4}$ scalar theory, and Yukawa theories.

Based on the Proceedings of the Sakata Memorial Workshop on Origin of Mass and Strong Coupling Gauge Theories, 3–6 March 2015, Nagoya, Japan.

Keywords:

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