High Energy Physics - Lattice
New submissions
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New submissions for Tue, 2 Dec 08
- [1] arXiv:0812.0085 [ps, pdf, other]
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Title: Large NAuthors: Michael TeperComments: Plenary talk at Lattice 2008Subjects: High Energy Physics - Lattice (hep-lat)
I review some of the things we have learned about large N gauge theories (and QCD at N=oo) from lattice calculations in recent years. I point to some open problems.
- [2] arXiv:0812.0092 [ps, pdf, other]
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Title: Minimally Doubled Fermion RevivalAuthors: Artan BoriciComments: 7 pages, 3 figures; proceedings of The XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virginia, USASubjects: High Energy Physics - Lattice (hep-lat)
In this paper, we present the recent progress on minimally doubled lattice actions. In particular, we discuss the proposal of Creutz and its variations on an orthogonal lattice. A preliminary computation of the pion mass on an SU(3) background field shows the expected behaviour as predicted form the chiral perturbation theory.
- [3] arXiv:0812.0284 [ps, pdf, other]
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Title: On the linear increase of the flux tube thickness near the deconfinement transitionComments: 20 pages, 4 figuresSubjects: High Energy Physics - Lattice (hep-lat)
We study the flux tube thickness of a generic Lattice Gauge Theory near the deconfining phase transition. It is well known that the effective string model predicts a logarithmic increase of the flux tube thickness as a function of the interquark distance for any confining LGT at zero temperature. It is perhaps less known that this same model predicts a linear increase in the vicinity of the deconfinement transition. We present a precise derivation of this result and compare it with a set of high precision simulations in the case of the 3d gauge Ising model.
- [4] arXiv:0812.0324 [pdf, other]
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Title: Random matrix analysis of the QCD sign problem for general topologyComments: 32 pages, 9 figuresSubjects: High Energy Physics - Lattice (hep-lat)
Motivated by the important role played by the phase of the fermion determinant in the investigation of the sign problem in lattice QCD at nonzero baryon density, we derive an analytical formula for the average phase factor of the fermion determinant for general topology in the microscopic limit of chiral random matrix theory at nonzero chemical potential, for both the quenched and the unquenched case. The formula is a nontrivial extension of the expression for zero topology derived earlier by Splittorff and Verbaarschot. Our analytical predictions are verified by detailed numerical random matrix simulations of the quenched theory.
- [5] arXiv:0812.0332 [ps, pdf, other]
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Title: Fermionic Spectrum on General Dimensional Hyperdiamond LatticeAuthors: Taro KimuraComments: 9 pages, 2 figuresSubjects: High Energy Physics - Lattice (hep-lat)
We have constructed general dimensional hyperdiamond lattices which are analogues of the three dimensional diamond lattice. Each site has the minimal number of bonds as possible in that dimension and the structure of the bond vectors is similar to that of the Clifford algebra. Furthermore, the spectrum zeros of the tight-binding hopping model on the hyperdiamond lattice are also investigated. The number of zeros is larger than two except for the two dimensional lattice, so that the minimal-doubling action cannot be realized on these lattices.
- [6] arXiv:0812.0334 [ps, pdf, other]
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Title: On the spectrum of closed k=2 flux tubes in D=2+1 SU(N) gauge theoriesComments: 37 pages, 16 figuresSubjects: High Energy Physics - Lattice (hep-lat)
We calculate the energy spectrum of a k=2 flux tube that is closed around a spatial torus, as a function of its length l. We do so for SU(4) and SU(5) gauge theories in 2 space dimensions. We find that to a very good approximation the eigenstates belong to the irreducible representations of the SU(N) group rather than just to its center, Z_N. We obtain convincing evidence that the low-lying states are, for l not too small, very close to those of the Nambu-Goto free string theory (in flat space-time). The correction terms appear to be typically of O(1) in appropriate units, much as one would expect if the bosonic string model were an effective string theory for the dynamics of these flux tubes. This is in marked contrast to the case of fundamental flux tubes where such corrections have been found to be unnaturally small. Moreover we find that these corrections appear to be particularly small when the `phonons' along the string have the same momentum, and large when their momentum is opposite. This provides information about the detailed nature of the interactions in the effective string theory. We have searched for, but not found, extra states that would arise from the excitation of the massive modes presumably associated with the non-trivial structure of the flux tube.
Cross-lists for Tue, 2 Dec 08
- [7] arXiv:0811.4293 (cross-list from hep-ph) [ps, pdf, other]
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Title: Turbulence in nonabelian gauge theoryComments: 12 pages, 2 figuresSubjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th); Nuclear Theory (nucl-th)
Kolmogorov wave turbulence plays an important role for the thermalization process following plasma instabilities in nonabelian gauge theories. We show that classical-statistical simulations in SU(2) gauge theory lead to the same Kolmogorov scaling exponent 3/2 as in scalar models. In the range of validity of resummed perturbation theory this result is shown to agree with the analytical estimate for not too high momenta. We study the effect of classical-statistical versus quantum corrections and demonstrate that the latter lead to the absence of turbulence in the far ultraviolet.
Replacements for Tue, 2 Dec 08
- [8] arXiv:0712.3683 (replaced) [ps, pdf, other]
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Title: Scalar Field Theory with a Non-Standard PotentialComments: 24 pages, 9 figures; version published in Phys. Rev. D 77Journal-ref: Phys.Rev.D77:065015,2008Subjects: High Energy Physics - Lattice (hep-lat)
- [9] arXiv:0804.0140 (replaced) [ps, pdf, other]
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Title: Upper bound on the cutoff in lattice Electroweak theoryComments: Latex, 22 pages, 3 figuresSubjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Lattice (hep-lat)
- [10] arXiv:0806.3252 (replaced) [ps, pdf, other]
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Title: On Matrix Model Formulations of Noncommutative Yang-Mills TheoriesComments: 24 pages, no figure, reference added, minor corrections, to be published in PRDJournal-ref: Phys. Rev. D 78, 105017 (2008)Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat)
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