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The nucleon-nucleon (NN) potential is studied by lattice QCD simulations in the quenched approximation, using the plaquette gauge action and the Wilson quark action on a 32(4) [approximately (4.4 fm)(4)] lattice. A NN potential V(NN)(r) is defined from the equal-time Bethe-Salpeter amplitude with a local interpolating operator for the nucleon. By studying… (More)

- Tetsuo Hatsuda
- 1992

We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). After a general overview of the non-perturbative aspects of QCD, we introduce the NJL model as a low-energy effective theory of QCD. The collective nature of hadrons and the constituent quark model are treated in a unified way.… (More)

Analyzing correlation functions of charmonia at finite temperature (T) on 32(3)x(32-96) anisotropic lattices by the maximum entropy method (MEM), we find that J/psi and eta(c) survive as distinct resonances in the plasma even up to T approximately 1.6T(c) and that they eventually dissociate between 1.6T(c) and 1.9T(c) (T(c) is the critical temperature of… (More)

- T. Hatsuda
- 1997

The notion of the optimized perturbation, which has been successfully applied to energy eigenvalues, is generalized to treat wave functions of quantum systems. The key ingredient is to construct an envelope of a set of perturba-tive wave functions. This leads to a condition similar to that obtained from the principle of minimal sensitivity. Applications of… (More)

- Y Nakahara, M Asakawa, T Hatsuda
- 1999

Using the maximum entropy method, spectral functions of the pseudo-scalar and vector mesons are extracted from lattice Monte Carlo data of the imaginary time Green's functions. The resonance and continuum structures as well as the ground state peaks are successfully obtained. Error analysis of the resultant spectral functions is also given on the basis of… (More)

- Tetsuo Hatsuda, Motoi Tachibana, Naoki Yamamoto, Gordon Baym
- Physical review letters
- 2006

We study the interplay between chiral and diquark condensates within the framework of the Ginzburg-Landau free energy, and classify possible phase structures of two and three-flavor massless QCD. The QCD axial anomaly acts as an external field applied to the chiral condensate in a color superconductor and leads to a crossover between the broken chiral… (More)

- Tetsuo Hatsuda
- 1995

Firstly, I give a brief summary of the current understanding of QCD below and near T c (the critical temperature of the chiral transition). Some emphases are put on the qualitative difference between the Yukawa regime (T ∼ 0) and the Hagedorn regime (T ∼ T c). Secondly, the dynamical phenomena associated with the chiral transition, in particular, the… (More)

- Kenji Maeda, Gordon Baym, Tetsuo Hatsuda
- Physical review letters
- 2009

We delineate, as an analog of two-flavor dense quark matter, the phase structure of a many-body mixture of atomic bosons and fermions in two internal states with a tunable boson-fermion attraction. The bosons b correspond to diquarks, and the fermions f to unpaired quarks. For weak b-f attraction, the system is a mixture of a Bose-Einstein condensate and… (More)

- Sinya Aoki, Janos Balog, +4 authors Peter Weisz
- 2008

We investigate the energy dependence of potentials defined through the Bethe-Salpeter wave functions. We analytically evaluate such a potential in the Ising field theory in 2 dimensions and show that its energy dependence is weak at low energy. We then numerically calculate the nucleon-nucleon potential at non-zero energy using quenched QCD with… (More)

- M Asakawa, T Hatsuda, Y Nakahara
- 2002

We extract the spectral functions in the scalar, pseudo-scalar, vector, and axial-vector channels above the deconfinement phase transition temperature (Tc) using the maximum entropy method (MEM). We use anisotropic lattices, 32 3 × 32, 40, 54, 72, 80, and 96 (corresponding to T = 2.3Tc → 0.8Tc), with the renormalized anisotropy ξ = 4.0 to have enough… (More)