Logarithmic Universality in Random Matrix Theory
The Niels Bohr Institute. Blegdamsvej 17 ... the same microscopic spectral correlators as chiral random matrix theory. PACS: 12.38. ... In the applications of. RMT to QCD the matrix, D, in the determinant is analogous to the Dirac operator. ... We now introduce a new set of deformations and show that the microscopic spectral ...
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Finding the Pion in the Chiral Random Matrix Vacuum
The Niels Bohr Institute, Blegdamsvej 17. DK–2100 ... ral random matrix theory ( χRMT) [1] for describing the spontaneous breaking of ... ral condensate, Σ, can be related to the spectral density of the Dirac ... current quark mass, m, other familiar vacuum phenom- ..... [2] J.J.M. Verbaarschot, The Infrared Limit of the QCD Dirac.
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Three-dimensional QCD in the adjoint representation and random
As expected, this case corresponds to Dyson index β = 4, that is, the Dirac ... The recent strong interest in the low-energy limit of the QCD spectrum originates in ... The same sum rules can also be obtained from a random matrix theory with the same global ...... Matrix Theories of QCD” (the Niels Bohr Institute, February 1999 ).
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On the Microscopic Spectra of the Massive Dirac Operator for Chiral
Apr 3, 2001 ... (1) The Niels Bohr Institute ... Using Random Matrix Theory we set out to compute the microscopic correlators of the. Euclidean ... four-dimensional QCD Dirac operator with Nf fundamental fermions and gauge group .... the application of the new technique by Widom to the massive case of four-dimensional.
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Odd-flavored QCD_3 and Random Matrix Theory
Oct 13, 1998 ... Odd-flavored QCD3 and Random Matrix Theory. Jesper Christiansen ∗. The Niels Bohr Institute ... of RMT and [4] for a review of the application of RMT to QCD). ... which implies that for odd N the spectral density is an odd function and thus .... Dirac. = ¯ψD/ψ. (11). L(2α) mass. = 2α. ∑ f=1 mf. ¯ ψf ψf. , L(1).
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Logarithmic Universality in Random Matrix Theory
Oct 30, 1998 ... The Niels Bohr Institute. Blegdamsvej 17 ... the same microscopic spectral correlators as chiral random matrix theory. ... In the applications of. RMT to QCD the matrix, D, in the determinant is analogous to the Dirac operator. ... We now introduce a new set of deformations and show that the microscopic.
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Universality of random matrices in the microscopic limit and the
Sep 23, 1996 ... §The Niels Bohr Institute / ‡NORDITA ... as above, and evaluated in a particular random matrix theory, ... should determine the microscopic spectral density of QCD from ... universality of also the Dirac operator spectrum near λ = 0. .... We avoid a proliferation of new symbols by employing the same P(α) n.
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Spectral ergodicity and normal modes in ensembles of - UNAM
a The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark ... Random-matrix theory (RMT) has shown itself to be useful in modeling a wide variety of ... in recent years. Applications of sparse matrices can be found, for instance, in disordered .... spectral fluctuations of the lattice QCD Dirac operator [ 16].
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arXiv:1001.2937v3 [hep-th] 20 Sep 2010 - inSPIRE
Sep 20, 2010 ... 1Niels Bohr International Academy, Niels Bohr Institute, ... We find analytical expressions for the spectral density on the scale of ... (QCD). In the continuum limit, the Hermitian Wilson. Dirac operator ... chiral Random Matrix Theory and the Dirac operator ... [4] has led to a new understanding of the chiral limit.
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Fermion determinants in matrix models of QCD at nonzero chemical
Mar 11, 1997 ... b Niels Bohr Institute, Blegdamsvej 17, Copenhagen, DK-2100, ... that the quenched Dirac spectrum is obtained in the limit as both the ... in the quenched and unquenched theory are indeed equal [16,7]. ... The random matrix partition function is obtained from the QCD ...... as new integration variables.
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Subsets and the canonical partition functions
Nov 19, 2012 ... SUNY, Stony Brook, New York 11794, USA. K. Splittorff. Discovery Center, The Niels Bohr Institute, ... random matrix theory can be solved by means of the subset method .... (See [12–14] for applications of canonical determinants to lattice QCD.) .... of the Dirac operator and for the fluctuations of the fermion ...
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CV - Syracuse University
At the meeting Quantum Geometry, Random Matrices, Statistical. Models of ... At the meeting New developments in Lattice Field theory,. Trento ... At the workshop From QCD to LHC Niels Bohr Institute, Copenhagen,. Denmark ... Exact Lattice Supersymmetry and applications to AdS/CFT, plenary talk at Lattice 2010, June.
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text - institute for theoretical physics cologne
Jun 1, 2011 ... underlies a recent classification of topological insulators by Kitaev ... The uncanny power of prediction by random matrix theory ... the discovery and application of fundamental symmetry principles in nuclear ... a picture of the compound nucleus which Niels Bohr had proposed in 1936. ... QCD Dirac spectra.
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Individual Eigenvalue Distributions for the Wilson Dirac Operator
2Niels Bohr International Academy and Discovery Center, Niels Bohr ... another method that was actually first proposed in [4] uses chiral Random Matrix Theory ( RMT), ... Then two years ago the microscopic spectral density of the Wilson Dirac ... regime QCD inequalities lead to a restriction on the sign of W8 to be positive ...
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JHEP08(2010)017 - Swansea University
Aug 3, 2010 ... Random matrix theory and chiral perturbation theory have given deep insight into one of ... opens up new directions to evade the sign problem. ... tained about the Dirac spectrum and the sign problem: For QCD in one ...... nally, we are grateful to the Niels Bohr Institute for its hospitality during the completion.
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Lattice 2012_018.pdf - Sissa
theory and Wilson random matrix theory. A number of ... In order to study the chiral limit in lattice QCD with Wilson Fermions, it is essential to un- derstand the ...
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the factorization method for systems with a complex action
aThe Niels Bohr Institute. Blegdamsvej 17 ... We test the new approach in a Random Matrix Theory for finite density QCD, where we are able to ... describe the spectrum of the Dirac operator at zero chemical potential [6] and has been ... The application of the factorization method to a Monte Carlo study of the. Random Matrix ...
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Article PDF - IOPscience
Jan 19, 2009 ... aThe Niels Bohr International Academy, The Niels Bohr Institute, ... theory we also obtain the spectral density of the Dirac operator, a ... zero-mode or vacuum part of the theory to chiral Random Matrix ... on the dynamics specific to QCD appear when the quark mass ... new perturbative method in ChPT.
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Here - NBI-Theoretical Particle Physics and Cosmology
Nov 5,[email protected] Current visitors and guests ... Numerical evaluation of one-loop amplitudes in QCD. [ NJET] ... Emil Bjerrum-Bohr .... Random matrix theory. Relation between the eigenvalue spectrum of covariance .... Individual Dirac operator eigenvalues.
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Discovery Center
Discovery Center is included in New Collaboration with CERN. 4. 6 ..... measure the smoothness of the CMB power spectrum .... by Quantum Chromo-Dynamics ( QCD). .... Niels Bohr Summer Institute on “Strings, Gauge Theory and the LHC”, Aug 22 ..... P. H. Damgaard, “Chiral Random Matrix Theory and Chiral Perturbation ...
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