The Experts below are selected from a list of 22446 Experts worldwide ranked by ideXlab platform
Nick Dorey - One of the best experts on this subject based on the ideXlab platform.
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multi instanton calculus and the ads cft correspondence in n 4 superconformal field theory
Nuclear Physics, 1999Co-Authors: Nick Dorey, Timothy J Hollowood, Valentin V Khoze, Michael P Mattis, Stefan VandorenAbstract:Abstract We present a self-contained study of ADHM multi-Instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N = 4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions Gn, n = 16, 8 or 4, in N = 4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero-modes are saturated. In the large-N limit, for the first time in any four-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large = N k-instanton collective coordinate space has the geometry of a single copy of AdS5 × S5. (2) The integration measure on this space includes the partition function of ten-dimensional N = 1 SU(k) gauge theory dimensionally reduced to zero dimensions, matching the description of D-Instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instantonlevel, G n = √N g 8 k n− 7 2 e 2πikτ Σ d/k d −2 · F n (x 1 , …, x n ) , where Fn is identical to a convolution of n bulk-to-boundary supergravity propagators.
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multi instanton calculus and the ads cft correspondence in n 4 superconformal field theory
arXiv: High Energy Physics - Theory, 1999Co-Authors: Nick Dorey, Timothy J Hollowood, Valentin V Khoze, Michael P Mattis, Stefan VandorenAbstract:We present a self-contained study of ADHM multi-Instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions G_n, n=16, 8 or 4, in N=4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero modes are saturated. In the large-N limit, for the first time in any 4-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of a single copy of AdS_5 x S^5. (2) The integration measure on this space includes the partition function of 10-dimensional N=1 SU(k) gauge theory dimensionally reduced to 0 dimensions, matching the description of D-Instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instanton level, G_n = \sqrt{N} g^8 k^{n-7/2} e^{2\pi ik\tau} \sum_{d|k} d^{-2} F_n(x_1,...,x_n), where F_n is identical to a convolution of n bulk-to-boundary supergravity propagators.
Stefan Vandoren - One of the best experts on this subject based on the ideXlab platform.
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multi instanton calculus and the ads cft correspondence in n 4 superconformal field theory
Nuclear Physics, 1999Co-Authors: Nick Dorey, Timothy J Hollowood, Valentin V Khoze, Michael P Mattis, Stefan VandorenAbstract:Abstract We present a self-contained study of ADHM multi-Instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N = 4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions Gn, n = 16, 8 or 4, in N = 4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero-modes are saturated. In the large-N limit, for the first time in any four-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large = N k-instanton collective coordinate space has the geometry of a single copy of AdS5 × S5. (2) The integration measure on this space includes the partition function of ten-dimensional N = 1 SU(k) gauge theory dimensionally reduced to zero dimensions, matching the description of D-Instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instantonlevel, G n = √N g 8 k n− 7 2 e 2πikτ Σ d/k d −2 · F n (x 1 , …, x n ) , where Fn is identical to a convolution of n bulk-to-boundary supergravity propagators.
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multi instanton calculus and the ads cft correspondence in n 4 superconformal field theory
arXiv: High Energy Physics - Theory, 1999Co-Authors: Nick Dorey, Timothy J Hollowood, Valentin V Khoze, Michael P Mattis, Stefan VandorenAbstract:We present a self-contained study of ADHM multi-Instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions G_n, n=16, 8 or 4, in N=4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero modes are saturated. In the large-N limit, for the first time in any 4-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of a single copy of AdS_5 x S^5. (2) The integration measure on this space includes the partition function of 10-dimensional N=1 SU(k) gauge theory dimensionally reduced to 0 dimensions, matching the description of D-Instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instanton level, G_n = \sqrt{N} g^8 k^{n-7/2} e^{2\pi ik\tau} \sum_{d|k} d^{-2} F_n(x_1,...,x_n), where F_n is identical to a convolution of n bulk-to-boundary supergravity propagators.
Timothy J Hollowood - One of the best experts on this subject based on the ideXlab platform.
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multi instanton calculus and the ads cft correspondence in n 4 superconformal field theory
Nuclear Physics, 1999Co-Authors: Nick Dorey, Timothy J Hollowood, Valentin V Khoze, Michael P Mattis, Stefan VandorenAbstract:Abstract We present a self-contained study of ADHM multi-Instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N = 4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions Gn, n = 16, 8 or 4, in N = 4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero-modes are saturated. In the large-N limit, for the first time in any four-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large = N k-instanton collective coordinate space has the geometry of a single copy of AdS5 × S5. (2) The integration measure on this space includes the partition function of ten-dimensional N = 1 SU(k) gauge theory dimensionally reduced to zero dimensions, matching the description of D-Instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instantonlevel, G n = √N g 8 k n− 7 2 e 2πikτ Σ d/k d −2 · F n (x 1 , …, x n ) , where Fn is identical to a convolution of n bulk-to-boundary supergravity propagators.
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multi instanton calculus and the ads cft correspondence in n 4 superconformal field theory
arXiv: High Energy Physics - Theory, 1999Co-Authors: Nick Dorey, Timothy J Hollowood, Valentin V Khoze, Michael P Mattis, Stefan VandorenAbstract:We present a self-contained study of ADHM multi-Instantons in SU(N) gauge theory, especially the novel interplay with supersymmetry and the large-N limit. We give both field- and string-theoretic derivations of the N=4 supersymmetric multi-instanton action and collective coordinate integration measure. As a central application, we focus on certain n-point functions G_n, n=16, 8 or 4, in N=4 SU(N) gauge theory at the conformal point (as well as on related higher-partial-wave correlators); these are correlators in which the 16 exact supersymmetric and superconformal fermion zero modes are saturated. In the large-N limit, for the first time in any 4-dimensional theory, we are able to evaluate all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of a single copy of AdS_5 x S^5. (2) The integration measure on this space includes the partition function of 10-dimensional N=1 SU(k) gauge theory dimensionally reduced to 0 dimensions, matching the description of D-Instantons in Type IIB string theory. (3) In exact agreement with Type IIB string calculations, at the k-instanton level, G_n = \sqrt{N} g^8 k^{n-7/2} e^{2\pi ik\tau} \sum_{d|k} d^{-2} F_n(x_1,...,x_n), where F_n is identical to a convolution of n bulk-to-boundary supergravity propagators.
Thomas Schäfer - One of the best experts on this subject based on the ideXlab platform.
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instanton effects in qcd at high baryon density
Physical Review D, 2002Co-Authors: Thomas SchäferAbstract:We study instanton effects in QCD at very high baryon density. In this regime Instantons are suppressed by a large power of $(\Lambda_{QCD}/\mu)$, where $\Lambda_{QCD}$ is the QCD scale parameter and $\mu$ is the baryon chemical potential. Instantons are nevertheless important because they contribute to several physical observables that vanish to all orders in perturbative QCD. We study, in particular, the chiral condensate and its contribution $m_{GB}^2\sim m $ to the masses of Goldstone bosons in the CFL phase of QCD with $N_f=3$ flavors. We find that at densities $\rho\sim (5-10) \rho_0$, where $\rho_0$ is the density of nuclear matter, the result is dominated by large Instantons and subject to considerable uncertainties. We suggest that these uncertainties can be addressed using lattice calculations of the instanton density and the pseudoscalar diquark mass in QCD with two colors. We study the topological susceptibility and Witten-Veneziano type mass relations in both $N_c=2$ and $N_c=3$ QCD.
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Instantons and the chiral phase transition at nonzero baryon density
Physical Review D, 1998Co-Authors: Thomas SchäferAbstract:We study an interacting ensemble of Instantons at a finite baryon chemical potential. We emphasize the importance of fermionic zero modes and calculate the fermion induced interaction between Instantons at a nonzero chemical potential. We show that unquenched simulations of the instanton ensemble are feasible in two regimes, for a sufficiently small and for a very large chemical potential. At a very large chemical potential chiral symmetry is restored and the instanton ensemble is dominated by strongly correlated chainlike configurations.
Koki Takesue - One of the best experts on this subject based on the ideXlab platform.
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atiyah manton construction of skyrmions in eight dimensions
Journal of High Energy Physics, 2017Co-Authors: Atsushi Nakamula, Shin Sasaki, Koki TakesueAbstract:We show that the eight-dimensional instanton solution, which satisfies the self-duality equation F ∧ F = ∗8 F ∧ F, realizes the static Skyrmion configuration in eight dimensions through the Atiyah-Manton construction. The relevant energy functional of the Skyrme field is obtained by the formalism developed by Sutcliffe. By comparing the Skyrmion solution associated with the extreme of the energy, with the Atiyah-Manton solution constructed by the Instantons, we find that they agree with high accuracy. This is a higher-dimensional analogue of the Atiyah-Manton construction of Skyrmions in four dimensions. Our result indicates that the instanton/Skyrmion correspondence seems to be an universal property in 4k (k = 1, 2,…) dimensions.
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adhm construction of anti self dual Instantons in eight dimensions
Nuclear Physics, 2016Co-Authors: Atsushi Nakamula, Shin Sasaki, Koki TakesueAbstract:Abstract We study the ADHM construction of (anti-)self-dual Instantons in eight dimensions. We propose a general scheme to construct the (anti-)self-dual gauge field configurations F ∧ F = ± ⁎ 8 F ∧ F whose finite topological charges are given by the fourth Chern number. We show that our construction reproduces the known SO ( 8 ) one-instanton solution. We also construct multi-instanton solutions of the 't Hooft and the Jackiw–Nohl–Rebbi (JNR) types in the dilute instanton gas approximation. The well-separated configurations of multi-Instantons reproduce the correct topological charges with high accuracy. We also show that our construction is generalized to (anti-)self-dual Instantons in 4n ( n = 3 , 4 , … ) dimensions.
