11,985 research outputs found

    Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions

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    We study four dimensional large-N SU(N) Yang-Mills theory coupled to adjoint overlap fermions on a single site lattice. Lattice simulations along with perturbation theory show that the bare quark mass has to be taken to zero as one takes the continuum limit in order to be in the physically relevant center-symmetric phase. But, it seems that it is possible to take the continuum limit with any renormalized quark mass and still be in the center-symmetric physics. We have also conducted a study of the correlations between Polyakov loop operators in different directions and obtained the range for the Wilson mass parameter that enters the overlap Dirac operator.Comment: 8 pages, 5 figure

    Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups

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    We define lacunary Fourier series on a compact connected semisimple Lie group GG. If fL1(G)f \in L^1(G) has lacunary Fourier series, and vanishes on a non empty open set, then we prove that ff vanishes identically. This may be viewed as a qualitative uncertainty principle

    Truncated Overlap Fermions

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    In this talk I propose a new computational scheme with overlap fermions and a fast algorithm to invert the corresponding Dirac operator.Comment: LATTICE99(algorithms

    Two dimensional fermions in three dimensional YM

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    Dirac fermions in the fundamental representation of SU(N) live on the surface of a cylinder embedded in R3R^3 and interact with a three dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite NN. As the circumference of the cylinder is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite NN limit at a typical bulk scale. Replacing three dimensional YM by four dimensional YM introduces non-trivial renormalization effects.Comment: 21 pages, 7 figures, 5 table

    Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications

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    A series expansion for Heckman-Opdam hypergeometric functions φλ\varphi_\lambda is obtained for all λaC.\lambda \in \mathfrak a^*_{\mathbb C}. As a consequence, estimates for φλ\varphi_\lambda away from the walls of a Weyl chamber are established. We also characterize the bounded hypergeometric functions and thus prove an analogue of the celebrated theorem of Helgason and Johnson on the bounded spherical functions on a Riemannian symmetric space of the noncompact type. The LpL^p-theory for the hypergeometric Fourier transform is developed for 0<p<20<p<2. In particular, an inversion formula is proved when 1p<21\leq p <2

    Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions

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    Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an exponential rate as the size of the extra dimension increases. Before this method can be used in dynamical simulations of lattice QCD, the dependence of the restoration rate to the other parameters of the theory and, in particular, the lattice spacing must be investigated. In this paper such an investigation is carried out in the context of the two flavor lattice Schwinger model.Comment: LaTeX, 37 pages including 18 figures. Added comments regarding power law fitting in sect 7. Also, few changes were made to elucidate the content in sect. 5.1 and 5.3. To appear in Phys. Rev.
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