The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform
Peter Suranyi - One of the best experts on this subject based on the ideXlab platform.
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solution of gauge theories induced by Fundamental Representation scalars
Physical Review D, 1998Co-Authors: Peter SuranyiAbstract:Gauge theories induced by scalars in the Fundamental Representation of the $\mathrm{U}{(N}_{c}{)}_{\mathrm{gauge}}\ifmmode\times\else\texttimes\fi{}\mathrm{U}{(N}_{f}{)}_{\mathrm{global}}$ group are investigated in the large ${N}_{c}$ and ${N}_{f}$ limits. A master field is defined from bilinears of the scalar field following an Eguchi-Kawai type reduction of spacetime. The density function for the master field satisfies an integral equation that can be solved exactly in two dimensions $(D=2)$ and in a convergent series of approximations at $Dg2$. While at $D=2$ the system is in the same phase at all $\ensuremath{\epsilon}{=N}_{c}{/N}_{f},$ it undergoes a phase transition at a critical value, ${\ensuremath{\epsilon}}_{c}(D)$, for $Dg2$.
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gauge theories induced by bosons in the Fundamental Representation
Physical Review D, 1997Co-Authors: Peter SuranyiAbstract:A lattice theory of scalar bosons in the Fundamental Representation of the gauge group SU(N{sub c}) and of the global symmetry group SU(N{sub f}) is shown to induce a standard gauge theory only at large N{sub f}. The system is in a deconfined phase at strong scalar self-coupling and any finite N{sub f}. The requirement of convergence of the effective gauge action imposes a lower limit on the scalar mass. {copyright} {ital 1997} {ital The American Physical Society}
Frederic Mila - One of the best experts on this subject based on the ideXlab platform.
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density matrix renormalization group simulations of su n heisenberg chains using standard young tableaus Fundamental Representation and comparison with a finite size bethe ansatz
Physical Review B, 2018Co-Authors: Pierre Nataf, Frederic MilaAbstract:We develop an efficient method to perform density matrix renormalization group simulations of the SU(N) Heisenberg chain with open boundary conditions taking full advantage of the SU(N) symmetry of the problem. This method is an extension of the method previously developed for exact diagonalizations and relies on a systematic use of the basis of standard Young tableaux. Concentrating on the model with the Fundamental Representation at each site (i.e., one particle per site in the fermionic formulation), we have benchmarked our results for the ground-state energy up to N=8 and up to 420 sites by comparing them with Bethe ansatz results on open chains, for which we have derived and solved the Bethe ansatz equations. The agreement for the ground-state energy is excellent for SU(3) (12 digits). It decreases with N, but it is still satisfactory for N=8 (six digits). Central charges c are also extracted from the entanglement entropy using the Calabrese-Cardy formula and agree with the theoretical values expected from the SU(N)1 Wess-Zumino-Witten conformal field theories.
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dmrg simulations of su n heisenberg chains using standard young tableaux Fundamental Representation and comparison with finite size bethe ansatz
arXiv: Strongly Correlated Electrons, 2018Co-Authors: Pierre Nataf, Frederic MilaAbstract:We develop an efficient method to perform density matrix renormalization group simulations of the SU(N) Heisenberg chain with open boundary conditions taking full advantage of the SU(N) symmetry of the problem. This method is an extension of the method previously developed for exact diagonalizations and relies on a systematic use of the basis of standard Young tableaux. Concentrating on the model with the Fundamental Representation at each site (i.e. one particle per site in the fermionic formulation), we have benchmarked our results for the ground state energy up to N = 8 and up to 420 sites by comparing them with Bethe ansatz results on open chains, for which we have derived and solved the Bethe ansatz equations. The agreement for the ground state energy is excellent for SU(3) (12 digits). It decreases with N , but it is still satisfactory for N = 8 (6 digits). Central charges c are also extracted from the entanglement entropy using the Calabrese-Cardy formula, and agree with the theoretical values expected from the SU(N)1 Wess-Zumino-Witten CFTs.
So Matsuura - One of the best experts on this subject based on the ideXlab platform.
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two dimensional 2 2 supersymmetric lattice gauge theory with matter fields in the Fundamental Representation
Journal of High Energy Physics, 2008Co-Authors: So MatsuuraAbstract:In this paper, we construct a lattice formulation for two-dimensional = (2, 2) supersymmetric gauge theory with matter fields in the Fundamental Representation. We first construct it by the orbifolding procedure from Yang-Mills matrix theory with eight supercharges. We show that we can obtain the same lattice formulation by extending the geometrical discretization scheme. This suggests that the equivalence between the two schemes holds even for theories with matter fields.
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Two-dimensional = (2, 2) supersymmetric lattice gauge theory with matter fields in the Fundamental Representation
Journal of High Energy Physics, 2008Co-Authors: So MatsuuraAbstract:In this paper, we construct a lattice formulation for two-dimensional = (2, 2) supersymmetric gauge theory with matter fields in the Fundamental Representation. We first construct it by the orbifolding procedure from Yang-Mills matrix theory with eight supercharges. We show that we can obtain the same lattice formulation by extending the geometrical discretization scheme. This suggests that the equivalence between the two schemes holds even for theories with matter fields.
Pierre Nataf - One of the best experts on this subject based on the ideXlab platform.
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density matrix renormalization group simulations of su n heisenberg chains using standard young tableaus Fundamental Representation and comparison with a finite size bethe ansatz
Physical Review B, 2018Co-Authors: Pierre Nataf, Frederic MilaAbstract:We develop an efficient method to perform density matrix renormalization group simulations of the SU(N) Heisenberg chain with open boundary conditions taking full advantage of the SU(N) symmetry of the problem. This method is an extension of the method previously developed for exact diagonalizations and relies on a systematic use of the basis of standard Young tableaux. Concentrating on the model with the Fundamental Representation at each site (i.e., one particle per site in the fermionic formulation), we have benchmarked our results for the ground-state energy up to N=8 and up to 420 sites by comparing them with Bethe ansatz results on open chains, for which we have derived and solved the Bethe ansatz equations. The agreement for the ground-state energy is excellent for SU(3) (12 digits). It decreases with N, but it is still satisfactory for N=8 (six digits). Central charges c are also extracted from the entanglement entropy using the Calabrese-Cardy formula and agree with the theoretical values expected from the SU(N)1 Wess-Zumino-Witten conformal field theories.
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dmrg simulations of su n heisenberg chains using standard young tableaux Fundamental Representation and comparison with finite size bethe ansatz
arXiv: Strongly Correlated Electrons, 2018Co-Authors: Pierre Nataf, Frederic MilaAbstract:We develop an efficient method to perform density matrix renormalization group simulations of the SU(N) Heisenberg chain with open boundary conditions taking full advantage of the SU(N) symmetry of the problem. This method is an extension of the method previously developed for exact diagonalizations and relies on a systematic use of the basis of standard Young tableaux. Concentrating on the model with the Fundamental Representation at each site (i.e. one particle per site in the fermionic formulation), we have benchmarked our results for the ground state energy up to N = 8 and up to 420 sites by comparing them with Bethe ansatz results on open chains, for which we have derived and solved the Bethe ansatz equations. The agreement for the ground state energy is excellent for SU(3) (12 digits). It decreases with N , but it is still satisfactory for N = 8 (6 digits). Central charges c are also extracted from the entanglement entropy using the Calabrese-Cardy formula, and agree with the theoretical values expected from the SU(N)1 Wess-Zumino-Witten CFTs.
Frederico Saddi Teixeira - One of the best experts on this subject based on the ideXlab platform.
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the supersymmetric 2 1 d noncommutative cp n 1 model in the Fundamental Representation
Journal of Physics A, 2007Co-Authors: A F Ferrari, A C Lehum, A J Da Silva, Frederico Saddi TeixeiraAbstract:In this paper, we study the noncommutative supersymmetric CP(N−1) model in 2 + 1 dimensions, where the basic field is in the Fundamental Representation which, differently to the adjoint Representation already studied in the literature, goes to the usual supersymmetric CP(N−1) model in the commutative limit. We analyse the phase structure of the model and calculate the leading and subleading corrections in a 1/N expansion. We prove that the theory is free of non-integrable UV/IR infrared singularities and is renormalizable in the leading order. The two-point vertex function of the basic field is also calculated and renormalized in an explicitly supersymmetric way up to the subleading order.
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The supersymmetric (2 + 1)D noncommutative CP(N−1) model in the Fundamental Representation
Journal of Physics A, 2007Co-Authors: A F Ferrari, A C Lehum, A J Da Silva, Frederico Saddi TeixeiraAbstract:In this paper, we study the noncommutative supersymmetric CP(N−1) model in 2 + 1 dimensions, where the basic field is in the Fundamental Representation which, differently to the adjoint Representation already studied in the literature, goes to the usual supersymmetric CP(N−1) model in the commutative limit. We analyse the phase structure of the model and calculate the leading and subleading corrections in a 1/N expansion. We prove that the theory is free of non-integrable UV/IR infrared singularities and is renormalizable in the leading order. The two-point vertex function of the basic field is also calculated and renormalized in an explicitly supersymmetric way up to the subleading order.
