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2,588
Soft asymptotics with mass gap
"... From the operator product expansion the gluon condensate controls a certain power law correction to the ultraviolet behavior of the gauge theory. This is reflected by the asymptotic behavior of the effective gluon mass function as determined by its SchwingerDyson equation. We show that the current ..."
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and the consistency of this behavior with a mass gap. SchwingerDyson (SD) equations provide a useful tool for the study of dynamical symmetry breaking by providing information about the momentum dependent dynamical mass functions. The existence of these mass functions signals a mass gap, a distortion of the theory
Mass gap in quantum chromodynamics
"... We present a heuristic argument in support of the assertion that QCD will exhibit a mass gap, if the CallanSymanzik function β(g) obeys the inequality β(g) < 0, for all g> 0. We begin by summarizing the standard lore attributed to QCD: (A) QCD must have a mass gap, i.e., every excitation abov ..."
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Cited by 2 (0 self)
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We present a heuristic argument in support of the assertion that QCD will exhibit a mass gap, if the CallanSymanzik function β(g) obeys the inequality β(g) < 0, for all g> 0. We begin by summarizing the standard lore attributed to QCD: (A) QCD must have a mass gap, i.e., every excitation
Mass gap without vacuum energy
, 907
"... We consider soft nonlocal deformations of massless theories that introduce a mass gap. By use of a renormalization scheme that preserves the ultraviolet softness of the deformation, renormalized quantities of low mass dimension, such as normal mass terms, vanish via finite counterterms. The same app ..."
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We consider soft nonlocal deformations of massless theories that introduce a mass gap. By use of a renormalization scheme that preserves the ultraviolet softness of the deformation, renormalized quantities of low mass dimension, such as normal mass terms, vanish via finite counterterms. The same
Antide Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories
 Adv. Theor. Math. Phys
, 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenome ..."
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Cited by 1083 (3 self)
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phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale “holographically ” with the volume of its horizon
On QCD2 from supergravity and mass gaps in QCD
, 1999
"... As a test of the conjectured QCD/supergravity duality, we consider mass gaps in the supergravity construction of QCD2. We find a mass gap in the dual field theory both when using nonrotating and rotating black D2branes as backgrounds in the supergravity construction of QCD2. So, since pure QCD2 do ..."
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As a test of the conjectured QCD/supergravity duality, we consider mass gaps in the supergravity construction of QCD2. We find a mass gap in the dual field theory both when using nonrotating and rotating black D2branes as backgrounds in the supergravity construction of QCD2. So, since pure QCD2
Bounds on the mass gap of the ferromagnetic XXZ chain
, 1995
"... We prove rigorous lower and upper bounds for the mass gap of the ferromagnetic spin 1/2 XXZ chain. The two bounds coincide asymptotically in the Ising limit \Delta ! 1. Near the isotropic point, \Delta = 1, the estimates are good enough to determine the critical behaviour of the mass gap unambiguous ..."
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We prove rigorous lower and upper bounds for the mass gap of the ferromagnetic spin 1/2 XXZ chain. The two bounds coincide asymptotically in the Ising limit \Delta ! 1. Near the isotropic point, \Delta = 1, the estimates are good enough to determine the critical behaviour of the mass gap
Confinement and Mass Gap in Abelian Gauge
, 2002
"... First, we present a simple confining abelian pure gauge theory. Classically, its kinetic term is not positive definite, and it contains a simple UV regularized F 4 interaction. This provoques the formation of a condensate φ ∼ F 2 such that, at the saddle point ̂ φ of the effective potential, the wav ..."
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First, we present a simple confining abelian pure gauge theory. Classically, its kinetic term is not positive definite, and it contains a simple UV regularized F 4 interaction. This provoques the formation of a condensate φ ∼ F 2 such that, at the saddle point ̂ φ of the effective potential, the wave function normalization constant of the abelian gauge fields Zeff ( ̂ φ) vanishes exactly. Then we study SU(2) pure YangMills theory in an abelian gauge and introduce an auxiliary field ρ for a BRST invariant condensate of dimension 2, which renders the charged sector massive. Consequently its effective low energy theory reduces to the confining abelian model discussed before, and the vev of ρ is seen to scale correctly with the renormalization point. The confinement condition Zeff = 0 is also shown to hold for the massive charged sector, which suppresses the couplings of the charged fields to the abelian gauge bosons in the infrared regime. LPT Orsay 0272
MassGaps and Spin Chains for (Super) Membranes
, 2006
"... We present a method for computing the nonperturbative massgap in the theory of Bosonic membranes in flat background spacetimes. The analysis is extended to the study of membranes coupled to background fluxes as well. The computation of massgaps is carried out using a matrix regularization of the ..."
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Cited by 3 (1 self)
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We present a method for computing the nonperturbative massgap in the theory of Bosonic membranes in flat background spacetimes. The analysis is extended to the study of membranes coupled to background fluxes as well. The computation of massgaps is carried out using a matrix regularization
The mass gap problem in the Wu gauge model framework
, 2011
"... Abstract: We demonstrate that Wu’s version of the quantum chromodynamics (QCD) predicts mass gap (Δ> 0) for the compact simple gauge group SU (3). This provides a solution to the second part of the YangMills problem. PACS number(s): 11.15.−q, 12.38.t ..."
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Abstract: We demonstrate that Wu’s version of the quantum chromodynamics (QCD) predicts mass gap (Δ> 0) for the compact simple gauge group SU (3). This provides a solution to the second part of the YangMills problem. PACS number(s): 11.15.−q, 12.38.t
Results 1  10
of
2,588