scholarly journals Five-loop quark mass and field anomalous dimensions for a general gauge group

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Thomas Luthe ◽  
Andreas Maier ◽  
Peter Marquard ◽  
York Schröder
Keyword(s):  
Gauge Group ◽  
Quark Mass ◽  
Anomalous Dimensions ◽  
General Gauge

scholarly journals CONFORMAL HOUSE

2010 ◽  
Vol 25 (24) ◽  
pp. 4603-4621 ◽  
Author(s):  
THOMAS A. RYTTOV ◽  
FRANCESCO SANNINO
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Gauge Group ◽  
Gauge Theories ◽  
Simultaneous Presence ◽  
Consistency Check ◽  
Effective Lagrangian ◽  
Anomalous Dimensions ◽  
Mass Terms

We investigate the gauge dynamics of nonsupersymmetric SU (N) gauge theories featuring the simultaneous presence of fermionic matter transforming according to two distinct representations of the underlying gauge group. We bound the regions of flavors and colors which can yield a physical infrared fixed point. As a consistency check we recover the previously investigated bounds of the conformal windows when restricting to a single matter representation. The earlier conformal windows can be imagined to be part now of the new conformal house. We predict the nonperturbative anomalous dimensions at the infrared fixed points. We further investigate the effects of adding mass terms to the condensates on the conformal house chiral dynamics and construct the simplest instanton induced effective Lagrangian terms.

scholarly journals The Five-loop Beta Function for a General Gauge Group

2017 ◽  
Vol 48 (12) ◽  
pp. 2331
Author(s):  
T. Luthe ◽  
A. Maier ◽  
P. Marquard ◽  
Y. Schröder
Keyword(s):  
Gauge Group ◽  
Beta Function ◽  
General Gauge

scholarly journals Modular invariant holographic correlators for $$ \mathcal{N} $$ = 4 SYM with general gauge group

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Luis F. Alday ◽  
Shai M. Chester ◽  
Tobias Hansen
Keyword(s):  
Gauge Group ◽  
Flat Space ◽  
Closed Form Expression ◽  
Tree Level ◽  
Modular Invariant ◽  
Higher Derivative ◽  
S Matrix ◽  
Space Limit ◽  
Type Iib String Theory ◽  
General Gauge

Abstract We study the stress tensor four-point function for $$ \mathcal{N} $$ N = 4 SYM with gauge group G = SU(N), SO(2N + 1), SO(2N) or USp(2N) at large N . When G = SU(N), the theory is dual to type IIB string theory on AdS5× S5 with complexified string coupling τs, while for the other cases it is dual to the orbifold theory on AdS5× S5/ℤ2. In all cases we use the analytic bootstrap and constraints from localization to compute 1-loop and higher derivative tree level corrections to the leading supergravity approximation of the correlator. We give perturbative evidence that the localization constraint in the large N and finite complexified coupling τ limit can be written for each G in terms of Eisenstein series that are modular invariant in terms of τs ∝ τ, which allows us to fix protected terms in the correlator in that limit. In all cases, we find that the flat space limit of the correlator precisely matches the type IIB S-matrix. We also find a closed form expression for the SU(N) 1-loop Mellin amplitude with supergravity vertices. Finally, we compare our analytic predictions at large N and finite τ to bounds from the numerical bootstrap in the large N regime, and find that they are not saturated for any G and any τ , which suggests that no physical theory saturates these bootstrap bounds.

scholarly journals A DYNAMICAL MECHANISM TO EXPLAIN THE TOP-BOTTOM QUARK MASS HIERARCHY

2005 ◽  
Vol 20 (32) ◽  
pp. 7567-7577 ◽  
Author(s):  
A. DOFF ◽  
A. A. NATALE
Keyword(s):  
Gauge Symmetry ◽  
Gauge Group ◽  
Quark Mass ◽  
Bottom Quark ◽  
Mass Splitting ◽  
Bottom Quarks ◽  
Mass Hierarchy ◽  
Dynamical Mechanism ◽  
Isospin Violation

We discuss the mass splitting between the the top and bottom quarks in a technicolor scenario. The model proposed here contains a left–right electroweak gauge group. An extended technicolor group and mirror fermions are introduced. The top-bottom quark mass splitting turns out to be intimately connected to the breaking of the left–right gauge symmetry. Weak isospin violation occurs within the experimental limits.

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