Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World

  title={Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World},
  author={T. Ryttov and Francesco Sannino},
  journal={Physical Review D},
We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with vectorlike matter transforming according to higher irreducible representations of the gauge group. We determine the fraction of asymptotically free theories expected to develop an infrared fixed point and find that it does not depend on the specific choice of the representation. This result is exact in supersymmetric theories while it is an approximate one in the nonsupersymmetric case. The… Expand

Figures and Tables from this paper

Light dilaton at fixed points and ultra light scale super-Yang–Mills
Abstract We investigate the infrared dynamics of a nonsupersymmetric SU ( X ) gauge theory featuring an adjoint fermion, N f Dirac flavors and a Higgs-like complex N f × N f scalar which is a gaugeExpand
Investigating the conformal window of SU(N) gauge theories
In this thesis we are concerned with the existence of infrared fixed points and the conformal window for gauge theories with fermions. We are particularly interested in those theories that areExpand
Conformality or confinement: (IR)relevance of topological excitations
What distinguishes two asymptotically-free non-abelian gauge theories on R4, one of which is just below the conformal window boundary and confines, while the other is slightly above the boundary andExpand
Nearly Conformal Gauge Theories on the Lattice
We present selected new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. We found chiral symmetryExpand
Conformal Dynamics for TeV Physics and Cosmology
We introduce the topic of dynamical breaking of the electroweak symmetry and its link to unparticle physics and cosmology. The knowledge of the phase diagram of strongly coupled theories plays aExpand
Effects of unparticles on running of gauge couplings
Unparticles charged under a gauge group can contribute to the running of the gauge coupling. We show that a scalar unparticle of scaling dimension d contributes to the β function a term that is (2-d)Expand
Higgs critical exponents and conformal bootstrap in four dimensions
A bstractWe investigate relevant properties of composite operators emerging in non-supersymmetric, four-dimensional gauge-Yukawa theories with interacting conformal fixed points within a preciseExpand
Conformal windows of Sp(2N) and SO(N) gauge theories
We study the nonperturbative dynamics of nonsupersymmetric asymptotically free gauge theories with fermionic matter in distinct representations of the SO(N) and Sp(2N) gauge groups. We use differentExpand
Conformal Behavior at Four Loops and Scheme (In)Dependence
We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vectorlike fermionic gauge theories with gaugeExpand
Dynamic AdS/QCD and the spectrum of walking gauge theories
We present a simple AdS/QCD model in which the formation of the chiral condensate is dynamically determined. The gauge dynamics is input through the running of the quark bilinear’s anomalousExpand


Non-perturbative formulas for central functions of supersymmetric gauge theories
Abstract For quantum field theories that flow between ultraviolet and infrared fixed points, central functions, defined from two-point correlators of the stress tensor and conserved currents,Expand
Conformal window of SU(N) gauge theories with fermions in higher dimensional representations
We study the phase diagram as a function of the number of colors and flavors of asymptotically free nonsupersymmetric theories with matter in higher-dimensional representations of arbitrary SU(N)Expand
Solution of the anomaly puzzle in SUSY gauge theories and the Wilson operator expansion
Abstract The present paper completes a series of works on β functions and the anomaly problem in supersymmetric theories. Exact expressions for the β functions are obtained within the framework ofExpand
Holomorphy, Rescaling Anomalies and Exact $\beta$ Functions in Supersymmetric Gauge Theories
There have long been known \exact" functions for the gauge coupling in N =1 supersymmetric gauge theories, the so-called Novikov-Shifman-Vainshtein-Zakharov (NSVZ) functions. Shifman and VainshteinExpand
Orientifold theory dynamics and symmetry breaking
We show that it is possible to construct explicit models of electroweak symmetry breaking in which the number of techniflavors needed to enter the conformal phase of the theory is small and weaklyExpand
Ultraviolet fixed point and generalized flow equation of quantum gravity
A new exact renormalization group equation for the effective average action of Euclidean quantum gravity is constructed. It is formulated in terms of the component fields appearing in theExpand
Light composite Higgs boson from higher representations versus electroweak precision measurements: P
We investigate theories in which the technifermions in higher dimensional representations of the technicolor gauge group dynamically break the electroweak symmetry of the standard model. SomewhatExpand
Renormalization group invariance of Exact Results in Supersymmetric Gauge Theories
We clarify the notion of Wilsonian renormalization group (RG) invariance in supersymmetric gauge theories, which states that low-energy physics can be kept fixed when one changes the ultravioletExpand
Chiral phase structure of QCD with many flavors
We investigate QCD with a large number of massless flavors with the aid of renormalization group flow equations. We determine the critical number of flavors separating the phases with and withoutExpand
Central charges and U(1)R symmetries in Script N = 1 super Yang-Mills
We use recent results of Intriligator and Wecht [1] to study the phase structure of = 1 super Yang-Mills theory with gauge group SU(Nc), a chiral superfield in the adjoint, and Nf chiral superfieldsExpand