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Nonperturbative Landau gauge and infrared critical exponents
 in QCD, [hepth/0109224], Phys. Rev. D65, 094039
, 2002
"... We discuss FaddeevPopov quantization at the nonperturbative level and show that Gribov’s prescription of cutting off the functional integral at the Gribov horizon does not change the SchwingerDyson equations, but rather resolves an ambiguity in the solution of these equations. We note that Gribov ..."
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Cited by 20 (4 self)
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are solved asymptotically in the infrared region. The infrared critical exponents or anomalous dimensions, defined by D(k) ∼ 1/(k 2) 1+aD 1/(k 2) 1+aG and G(k) ∼ are obtained in spacetime dimensions d = 2, 3, 4. Two possible solutions are obtained with the values, in d = 4 dimensions, aG = 1, aD = −2, or a
Timeindependant stochastic quantization, DS equations, and infrared critical exponents in QCD
, 2002
"... We derive the equations of timeindependent stochastic quantization, without reference to an unphysical 5th time, from the principle of gauge equivalence. It asserts that probability distributions P that give the same expectation values for gaugeinvariant observables 〈W 〉 = ∫ dA W P are physicall ..."
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Cited by 10 (2 self)
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are physically indistiguishable. This method escapes the Gribov critique. We derive an exact system of equations that closely resembles the DysonSchwinger equations of FaddeevPopov theory, which we then solve nonperturbatively for the critical exponents that characterize the asymptotic form at k ≈ 0
FAUTP302/29 KUGO–OJIMA CONFINEMENT CRITERION, ZWANZIGER–GRIBOV HORIZON CONDITION, AND INFRARED CRITICAL EXPONENTS IN
, 2003
"... The Kugo–Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger’s horizon condition) results from quite general properties of ..."
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The Kugo–Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger’s horizon condition) results from quite general properties
KUGO–OJIMA CONFINEMENT CRITERION, ZWANZIGER–GRIBOV HORIZON CONDITION, AND INFRARED CRITICAL EXPONENTS IN Landau Gauge QCD
, 2003
"... The Kugo–Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger’s horizon condition) results from quite general properties of ..."
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The Kugo–Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger’s horizon condition) results from quite general properties
OUTP9676P hepth/9701087 Inverse LandauKhalatnikov Transformation and Infrared Critical Exponents of (2+1)dimensional
"... By applying an inverse LandauKhalatnikov transformation, connecting (resummed) SchwingerDyson treatments in nonlocal and Landau gauges of QED3, we derive the infrared behaviour of the wavefunction renormalization in the Landau gauge, and the associated critical exponents in the normal phase of t ..."
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By applying an inverse LandauKhalatnikov transformation, connecting (resummed) SchwingerDyson treatments in nonlocal and Landau gauges of QED3, we derive the infrared behaviour of the wavefunction renormalization in the Landau gauge, and the associated critical exponents in the normal phase
Renormalization group flows from holography  Supersymmetry and a ctheorem
 ADV THEOR. MATH. PHYS
, 1999
"... We obtain first order equations that determine a supersymmetric kink solution in fivedimensional N = 8 gauged supergravity. The kink interpolates between an exterior antide Sitter region with maximal supersymmetry and an interior antide Sitter region with one quarter of the maximal supersymmetry. ..."
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Cited by 294 (25 self)
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between fields of bulk supergravity in the interior antide Sitter region and composite operators of the infrared field theory. We also point out that the truncation used to find the reduced symmetry critical point can be extended to obtain a new N = 4 gauged supergravity theory holographically dual to a
Critical exponents for twodimensional percolation
"... We show how to combine Kesten’s scaling relations, the determination of critical exponents associated to the stochastic Loewner evolution process by Lawler, Schramm, and Werner, and Smirnov’s proof of Cardy’s formula, in order to determine the existence and value of critical exponents associated to ..."
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Cited by 126 (7 self)
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We show how to combine Kesten’s scaling relations, the determination of critical exponents associated to the stochastic Loewner evolution process by Lawler, Schramm, and Werner, and Smirnov’s proof of Cardy’s formula, in order to determine the existence and value of critical exponents associated
Critical exponents
, 1994
"... By Monte Carlo simulation we study the critical exponents governing the transition of the threedimensional classical O(4) Heisenberg model, which is considered to be in the same universality class as the finitetemperature QCD with massless two flavors. We use the single cluster algorithm and the h ..."
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By Monte Carlo simulation we study the critical exponents governing the transition of the threedimensional classical O(4) Heisenberg model, which is considered to be in the same universality class as the finitetemperature QCD with massless two flavors. We use the single cluster algorithm
and critical exponents
, 1998
"... With the help of variational perturbation theory we continue the renormalization constants of f 4theories in 4ye dimensions to infinitely strong bare couplings g and find their power behavior in g, thereby determining all critical0 0 exponents without the standard renormalization group techniques. ..."
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With the help of variational perturbation theory we continue the renormalization constants of f 4theories in 4ye dimensions to infinitely strong bare couplings g and find their power behavior in g, thereby determining all critical0 0 exponents without the standard renormalization group techniques
Results 1  10
of
4,113