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On the Question of a Possible Infrared Zero in the Beta Function of the Finite- Gross-Neveu Model
Gongjun Choi, Thomas Ryttov, Robert Shrock
We investigate whether the beta function of the finite- Gross-Neveu model, as calculated up to the four-loop level, exhibits evidence for an infrared zero. As part of our analys…
Study of the Six-Loop Beta Function of the Theory
Robert Shrock
We investigate whether the six-loop beta function of the theory exhibits evidence for an ultraviolet zero. As part of our analysis, we calculate and analyze Padé approxima…
Scheme-Independent Calculation of for an SU(3) Gauge Theory
Thomas A. Ryttov, Robert Shrock
We present a scheme-independent calculation of the infrared value of the anomalous dimension of the fermion bilinear, in an SU(3) gauge theory as a function of the…
Infrared Zero of and Value of for an SU(3) Gauge Theory at the Five-Loop Level
Thomas A. Ryttov, Robert Shrock
We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of…
An Integral Formalism for the Construction of Scheme Transformations in Quantum Field Theory
Gongjun Choi, Robert Shrock
We present an integral formalism for constructing scheme transformations in a quantum field theory. We apply this to generate several new useful scheme transformations. A comparati…
Dynamical Symmetry Breaking in Chiral Gauge Theories with Direct-Product Gauge Groups
Yan-Liang Shi, Robert Shrock
We analyze patterns of dynamical symmetry breaking in strongly coupled chiral gauge theories with direct-product gauge groups . If the gauge coupling for a factor group $G_i \su…