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Fixed point gauge actions with fat links: scaling and glueballs
 Nucl. Phys. B
"... A new parametrization is introduced for the fixed point (FP) action in SU(3) gauge theory using fat links. We investigate its scaling properties by means of the static quarkantiquark potential and the dimensionless quantities r0Tc, Tc / √ √ σ and r0 σ, where Tc is the critical temperature of the d ..."
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A new parametrization is introduced for the fixed point (FP) action in SU(3) gauge theory using fat links. We investigate its scaling properties by means of the static quarkantiquark potential and the dimensionless quantities r0Tc, Tc / √ √ σ and r0 σ, where Tc is the critical temperature of the deconfining phase transition, r0 is the hadronic scale and σ is the effective string tension. These quantities scale even on lattices as coarse as a ≈ 0.3 fm. We also measure the glueball spectrum and obtain m 0 ++ = 1627(83) MeV and m 2 ++ = 2354(95) MeV for the masses of the scalar and tensor glueballs, respectively. 1 Work supported in part by Schweizerischer Nationalfonds One way to study quantum field theories beyond perturbation theory is to discretize
Horizontal Symmetries for the Supersymmetric Flavor Problem
"... The heaviness of the third family fermions and the experimental absence of large flavor violating processes suggest, in supersymmetric theories, that the three families belong to a 2 + 1 representation of a horizontal symmetry GH . In this framework, we discuss a class of models based on the group U ..."
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The heaviness of the third family fermions and the experimental absence of large flavor violating processes suggest, in supersymmetric theories, that the three families belong to a 2 + 1 representation of a horizontal symmetry GH . In this framework, we discuss a class of models based on the group U(2) that describe the fermion flavor structure and are compatible with an underlying GUT. We study the phenomenology of these models and focus on two interesting scenarios: In the first one, the first and second family scalars are assumed to be heavier than the weak scale allowing for complex soft supersymmetry breaking terms. In the second one, all the CPviolating phases are assumed to be small. Both scenarios present a rich phenomenology in agreement with constraints from flavor violating processes and electric dipole moments. CERNTH/95207 July 1 Introduction The flavor structure of the Standard Model (SM) is an open problem, but also a hint in the search for a more fundamental the...
Spatial periodmultiplying instabilities of hexagonal Faraday waves
, 2000
"... A recent Faraday wave experiment with twofrequency forcing reports two types of `superlattice' patterns that display periodic spatial structures having two separate scales [1]. These patterns both arise as secondary states once the primary hexagonal pattern becomes unstable. In one of these patt ..."
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Cited by 5 (4 self)
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A recent Faraday wave experiment with twofrequency forcing reports two types of `superlattice' patterns that display periodic spatial structures having two separate scales [1]. These patterns both arise as secondary states once the primary hexagonal pattern becomes unstable. In one of these patterns (socalled `superlatticetwo') the original hexagonal symmetry is broken in a subharmonic instability to form a striped pattern with a spatial scale increased by a factor of 2 p 3 from the original scale of the hexagons. In contrast, the timeaveraged pattern is periodic on a hexagonal lattice with an intermediate spatial scale ( p 3 larger than the original scale) and apparently has 60 ffi rotation symmetry. We present a symmetrybased approach to the analysis of this bifurcation. Taking as our starting point only the observed instantaneous symmetry of the superlatticetwo pattern presented in [1] and the subharmonic nature of the secondary instability, we show (a) that a...
A Relation between the Kauffman and the HOMFLY polynomials for torus knots,” qalg/9507031
"... Polynomial invariants corresponding to the fundamental representation of the gauge group SO(N) are computed for arbitrary torus knots in the framework of ChernSimons gauge theory making use of knot operators. As a result, a formula which relates the Kauffman and the HOMFLY polynomials for torus kno ..."
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Polynomial invariants corresponding to the fundamental representation of the gauge group SO(N) are computed for arbitrary torus knots in the framework of ChernSimons gauge theory making use of knot operators. As a result, a formula which relates the Kauffman and the HOMFLY polynomials for torus knots is presented. Knot operators [1,2] have shown to be a powerful tool in ChernSimons gauge theory [3] to obtain general expressions for knot invariants related to torus knots and links. Computations by other methods [4,5,6,7,8,9,10] have been succesful for specific knots but not to obtain general expressions for knot sequences as torus
New Boundary Conformal Field Theories Indexed by the SimplyLaced Lie Algebras
, 1995
"... We consider the field theory of N massless bosons which are free except for an interaction localized on the boundary of their 1+1 dimensional world. The boundary action is the sum of two pieces: a periodic potential and a coupling to a uniform abelian gauge field. Such models arise in open string th ..."
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We consider the field theory of N massless bosons which are free except for an interaction localized on the boundary of their 1+1 dimensional world. The boundary action is the sum of two pieces: a periodic potential and a coupling to a uniform abelian gauge field. Such models arise in open string theory and dissipative quantum mechanics, and possibly in edge state tunneling in the fractional quantized Hall effect. We explicitly show that conformal invariance is unbroken for certain special choices of the gauge field and the periodic potential. These special cases are naturally indexed by semisimple, simply laced Lie algebras. For each such algebra, we have a discrete series of conformally invariant theories where the potential and gauge field are conveniently given in terms of the weight lattice of the algebra. We compute the exact boundary state for these theories, which explicitly shows the group structure. The partition function and correlation functions are easily computed using t...
Orbifold Compactifications with Continuous Wilson Lines
, 1993
"... : We identify the untwisted moduli of heterotic orbifold compactifications for the case, when the gauge twist is realized by a rotation. The Wilson lines are found to have both continuous and discrete parts. For the case of the standard Z 3 orbifold we classify all possibilities of breaking the gau ..."
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: We identify the untwisted moduli of heterotic orbifold compactifications for the case, when the gauge twist is realized by a rotation. The Wilson lines are found to have both continuous and discrete parts. For the case of the standard Z 3 orbifold we classify all possibilities of breaking the gauge group E(6)\Omega SU(3) by nine of the eighteen Wilson moduli and by additional discrete Wilson lines. New address from 1 november 1993: DESYIfH Zeuthen, Platanenallee 6, D15738 Zeuthen. (Postal address: P.O. Box, D15735 Zeuthen. Email: mohaupt at ifh.de.) y Corrected: November 8, 1993. T. Mohaupt, Orbifold Compactifications with Continuous Wilson Lines 1 1 Introduction The compactification of the heterotic string theory [1] from ten to four dimensions can be realized in a lot of different ways [2]. A generic feature of all these schemes is the appearence of contiuous deformation parameters, called moduli [3, 4]. The moduli spaces of toroidal [8, 9] and orbifold compactifica...
The WessZumino Model and the AdS4/CFT3 Correspondence
, 1999
"... We consider the noninteracting massive WessZumino model in fourdimensional antide Sitter space and show that the conformal dimensions of the corresponding boundary fields do not always satisfy the relation expected from superconformal invariance. 1 ..."
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We consider the noninteracting massive WessZumino model in fourdimensional antide Sitter space and show that the conformal dimensions of the corresponding boundary fields do not always satisfy the relation expected from superconformal invariance. 1
The Mathematician as a Formalist
 in Truth in Mathematics (H.G. Dales and
, 1998
"... Introduction The existence of this meeting bears testimony to the anodyne remark that there is a continuing debate about what it means to say of a statement in mathematics that it is `true'. This debate began at least 2500 years ago, and will presumably continue at least well into the next millenni ..."
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Introduction The existence of this meeting bears testimony to the anodyne remark that there is a continuing debate about what it means to say of a statement in mathematics that it is `true'. This debate began at least 2500 years ago, and will presumably continue at least well into the next millennium; it would be implausible and perhaps presumptuous to suppose that even the union of the talented and distinguished speakers that have been assembled here in Mussomeli will approach any solution to the problem, or even arrive at a consensus of what a solution would amount to. In the end, it falls to the philosophers, with their professional expertise and training, to carry forward the debate and to move us to a fuller understanding of this subtle and elusive matter. Indeed, we are hearing at this meeting a variety of contributions to the debate from different philosophical points of view; also, there is a good number of recent published contributions to the debate (see (Maddy 1990)
Critical Wilson Lines in Toroidal Compactifications of Heterotic Strings
 Int. J. Mod. Phys
, 1993
"... Critical values of Wilson lines and general background fields for toroidal compactifications of heterotic string theories are constructed systematically using Dynkin diagrams. This work is part of a Ph.D. thesis in preparation at the science faculty of the university ..."
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Critical values of Wilson lines and general background fields for toroidal compactifications of heterotic string theories are constructed systematically using Dynkin diagrams. This work is part of a Ph.D. thesis in preparation at the science faculty of the university
DEGREE THREE COHOMOLOGICAL INVARIANTS OF SEMISIMPLE GROUPS
"... Abstract. We study the degree 3 cohomological invariants with coefficients in Q/Z(2) of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given. 1. ..."
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Abstract. We study the degree 3 cohomological invariants with coefficients in Q/Z(2) of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given. 1.