Judah Eisenberg's papers (a selection from 1991–98):

  • Hot nuclear matter
  • Particle pair production in strong electric fields
  • Skyrmions

  • Hot nuclear matter


    P. K. Panda, A. Mishra, J. M. Eisenberg, and W. Greiner, Hot nuclear matter in the quark meson coupling model, Phys. Rev. C 56 (1997) 3134 [nucl-th/9705045].

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    G. Kälbermann, J. M. Eisenberg, and B. Svetitsky, Hot nuclear matter with dilatons, Nucl. Phys. A600 (1996) 436 (nucl-th/9510011).

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    Particle pair production in strong electric fields


    Y. Kluger, E. Mottola, and J. M. Eisenberg, The quantum Vlasov equation and its Markov limit, Phys. Rev. D 58 (1998) 125015 [hep-ph/9803372].

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    J. M. Eisenberg, Back reaction in the presence of thermalizing collisions, in L. C. Biedenharn Memorial Volume: Found. Phys. 27, 1213 (1997) [hep-ph/9609205].

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    J. M. Eisenberg, A didactic derivation of the Boltzmann–Vlasov equation from multiple scattering using the Wigner function, dedicated to the memory of Eugene Wigner, Heavy Ion Phys. 1 (1995) 53 (8 pp.) [nucl-th/0505006].

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    J. M. Eisenberg, Back-reaction in a cylinder, Phys. Rev. D 51 (1995) 1938 [hep-ph/9410329].

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    F. Cooper, J. M. Eisenberg, Y. Kluger, E. Mottola, and B. Svetitsky, Particle production in the central rapidity region, Phys. Rev. D 48 (1993) 190 (hep-ph/9212206).

    We study pair production from a strong electric field in boost-invariant coordinates as a simple model for the central rapidity region of a heavy-ion collision. We derive and solve the renormalized equations for the time evolution of the mean electric field and current of the produced particles, when the field is taken to be a function only of the fluid proper time. We find that a relativistic transport theory with a Schwinger source term modified to take Pauli blocking (or Bose enhancement) into account gives a good description of the numerical solution to the field equations. We also compute the renormalized energy–momentum tensor of the produced particles and compare the effective pressure, energy and entropy density to that expected from hydrodynamic models of energy and momentum flow of the plasma.

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    Y. Kluger, J. M. Eisenberg, and B. Svetitsky, Pair production in a strong electric field: an initial value problem in quantum field theory, Int. J. Mod. Phys. E 2 (1993) 333 (hep-ph/0311293).

    We review recent achievements in the solution of the initial-value problem for quantum back-reaction in scalar and spinor QED. The problem is formulated and solved in the semiclassical mean-field approximation for a homogeneous, time-dependent electric field. Our primary motivation in examining back-reaction has to do with applications to theoretical models of production of the quark–gluon plasma, though we here address practicable solutions for back-reaction in general. We review the application of the method of adiabatic regularization to the Klein–Gordon and Dirac fields in order to renormalize the expectation value of the current and derive a finite coupled set of ordinary differential equations for the time evolution of the system. Three time scales are involved in the problem and therefore caution is needed to achieve numerical stability for this system. Several physical features, like plasma oscillations and plateaus in the current, appear in the solution. From the plateau of the electric current one can estimate the number of pairs before the onset of plasma oscillations, while the plasma oscillations themselves yield the number of particles from the plasma frequency.

    We compare the field-theory solution to a simple model based on a relativistic Boltzmann–Vlasov equation, with a particle production source term inferred from the Schwinger particle creation rate and a Pauli-blocking (or Bose-enhancement) factor. This model reproduces very well the time behavior of the electric field and the creation rate of charged pairs of the semiclassical calculation. It therefore provides a simple intuitive understanding of the nature of the solution since nearly all the physical features can be expressed in terms of the classical distribution function.

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    Y. Kluger, J. M. Eisenberg, B. Svetitsky, F. Cooper, and E. Mottola, Fermion pair production in a strong electric field, Phys. Rev. D 45 (1992) 4659.

    The initial-value problem for the quantum back-reaction in spinor QED is formulated and solved in the semiclassical mean field approximation, for a homogeneous but time-dependent electric field E(t). We apply the method of adiabatic regularization to the Dirac equation in order to renormalize the expectation value of the current and derive a finite coupled set of ordinary differential equations for the time evolution of the system. We solve this system in (1+1) dimensions numerically and compare the solution to a simple model based on a relativistic Boltzmann–Vlasov equation, with a particle production source term inferred from the Schwinger particle creation rate and a Pauli-blocking factor. This model reproduces very well the time behavior of the electric field and the creation rate of electron–positron pairs of the semiclassical calculation.

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    J. M. Eisenberg, Y. Kluger, and B. Svetitsky, Pair production in a strong electric field with back-reaction — an interim summary, Acta Phys. Polon. B23 (1992) 577.

    Dedicated to Wieslaw Czyz on the occasion of his sixty-fifth birthday

    We present a summary of the present status of efforts to solve the problem in which pairs are produced in a strong electric field, are accelerated by it, and then react back on it through the counter-field produced by their current. This picture has been used by Bialas and Czyz and others as a model for effects that may possibly arise in the study of the quark–gluon plasma. We here give a didactic review of recent developments in this back-reaction problem. We first present a simple version of the theory of pair tunneling from a fixed electric field, and then sketch how this has been applied to the quark–gluon plasma. Then we turn to a field formulation of the problem for charged bosons, which leads to the need to carry out a renormalization program, outlined again in simple terms. Numerical results for this program are presented for one spatial dimension, the corresponding physical behavior of the system is discussed, and the implications for three spatial dimensions are considered. We exhibit a phenomenological transport equation embodying physics that is essentially identical to that of the field formulation, thus helping to tie the model of Bialas and Czyz for the quark–gluon plasma to a field-theory formulation. Last, we note the status of extensions to (i) the problem with three space dimensions; (ii) the fermion case; (iii) the formulation in terms of boost-invariant variables (as desirable for the quark–gluon plasma); and (iv) transport equations derived in a fundamental and consistent fashion.

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    Y. Kluger, J. M. Eisenberg, B. Svetitsky, F. Cooper, and E. Mottola, Pair production in a strong electric field, Phys. Rev. Lett. 67 (1991) 2427.

    We investigate the mechanism of pair creation in scalar QED from spatially homogeneous strong electric fields in 1+1 dimensions. Solution of the semiclassical field equations shows particle creation followed by plasma oscillations. We compare our results with a model based on a relativistic Boltzmann–Vlasov equation with a pair-creation source term related to the Schwinger mechanism. The time evolution of the electric field and the current obtained from the Boltzmann–Vlasov model is surprisingly similar to that found in the semiclassical calculation.

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    Skyrmions


    J. M. Eisenberg and G. Kälbermann, Two-baryon forces from skyrmions, lectures given at the International Workshop on Hadron Physics 96, Rio de Janeiro, Brazil, April 1996, published in proceedings, ed. by E. Ferreira et al. (World Scientific, Singapore, 1997) (69 pp.).

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    J. M. Eisenberg and G. Kälbermann, The nucleon in the nucleus as given by skyrmions, lecture given at the International Conference on Nuclear Physics at the Turn of Millennium, Wilderness, South Africa, 10–16 March 1996, published in Structure of Vacuum and Elementary Matter, ed. by H. Stocker, A. Gallmann, and J. H. Hamilton (World Scientific, Singapore, 1997).

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    J. M. Eisenberg and G. Kälbermann, The nucleon–nucleon force from skyrmions, lectures delivered by J.M. Eisenberg at the Lajos Kossuth University in Debrecen, Hungary, September 1995 (46 pp.), published in Int. J. Mod. Phys. E 5 (1996) 423.

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    J. M. Eisenberg and G. Kälbermann, The nucleon–nucleon force from skyrmions, talk delivered at the Seventeenth Course of the International School on Nuclear Physics: Quarks in Hadrons and Nuclei, September, 1995, Erice, Sicily, Italy, published in Progress in Particle and Nuclear Physics 36 (1996) 321.

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    G. Kälbermann and J. M. Eisenberg, An attractive nucleon–nucleon spin–orbit force from skyrmions with dilatons, Phys. Lett. B 349 (1995) 416 [hep-ph/9501400].

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    G. Kälbermann and J. M. Eisenberg, Spin content from skyrmions with parameters fit to baryon properties, Nucl. Phys. A 587 (1995) 609 [hep-ph/9501302].

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    G. Kälbermann, J. M. Eisenberg, and A. Schäfer, Proton spin content from skyrmions, Phys. Lett. B 339 (1994) 211 [hep-ph/9409299].

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