Abstract:
It is well known that some quantum and statistical fluctuations of a quantum field may be recovered by adding suitable stochastic sources to the mean field equations derived from the Schwinger-Keldysh (closed-time path) effective action. In this paper we show that this method can be extended to higher correlations and higher (n-particle irreducible) effective actions. As an example, we investigate third- and fourth-order correlations by adding stochastic sources to the Schwinger-Dyson equations derived from the 2-particle irreducible effective action. This method is a simple way to investigate the nonlinear dynamics of quantum fluctuations. © 2009 IOP Publishing Ltd.
Referencias:
- Calzetta, E., Hu, B.L., (2008) Nonequilibrium Quantum Field Theory
- Calzetta, E., Hu, B.L., Quantum fluctuations, decoherence of the mean field, and structure formation in the early universe (1995) Phys. Rev., 52 (12), p. 6770
- Calzetta, E.A., Gonorazky, S., Primordial fluctuations from nonlinear couplings (1997) Phys. Rev., 55 (4), p. 1812
- Roura, A., Verdaguer, E., Cosmological perturbations from stochastic gravity (2008) Phys. Rev., 78 (6), p. 064010
- Wu, C.-H., Ng, K.-W., Ford, L.H., Possible constraints on the duration of inflationary expansion from quantum stress tensor fluctuations (2007) Phys. Rev., 75 (10), p. 103502
- Wu, C.-H., Ng, K.-W., Lee, W., Lee, D.-S., Charng, Y.-Y., Quantum noise and large-scale cosmic microwave background anisotropy (2007) J. Cosmol. Astropart. Phys., 2007 (2), p. 006
- Greiner, C., Muller, B., Classical fields near thermal equilibrium (1997) Phys. Rev., 55 (2), p. 1026
- Calzetta, E., Hu, B.L., Stochastic behavior of effective field theories across the threshold (1997) Phys. Rev., 55 (6), p. 3536
- Bodeker, D., Effective dynamics of soft non-Abelian gauge fields at finite temperature (1998) Phys. Lett., 426 (3-4), p. 351
- Bodeker, D., From hard thermal loops to Langevin dynamics (1999) Nucl. Phys., 559 (1-2), p. 502
- Arnold Son, P.D., Yaffe, L.G., Effective dynamics of hot, soft, non-Abelian gauge fields (1999) Phys. Rev., 59 (10), p. 105020
- Arnold Son, P.D., Yaffe, L., Longitudinal subtleties in diffusive Langevin equations (1999) Phys. Rev., 60 (2), p. 025007
- Proukakis Nick, P., Brian, J., PHD tutorial finite-temperature models of Bose-Einstein condensation (2008) J. Phys. B: At. Mol. Opt. Phys., 41 (20), p. 203002
- Gardiner Anglin, C.J., Fudge, T., The stochastic Gross-Pitaevskii equation (2002) J. Phys. B At. Mol. Opt. Phys., 35 (6), p. 1555
- Gardiner, C., Davis, M., (2003) The Stochastic Gross-Pitaevskii Equation II
- Bradley, A.S., Blakie, P.B., Gardiner, C.W., Properties of the stochastic Gross-Pitaievskii equation: Projected Ehrenfest relations and the optimal plane wave basis (2005) J. Phys. B: At. Mol. Opt. Phys., 38 (23), p. 4259
- Stoof, H.T.C., (1999) Dynamics: Models and Kinetic Methods for Non-Equilibrium Many-Body Systems
- Stoof, H.T.C., (2001) Coherent Atomic Matter Waves
- Calzetta Hu, E.B.L., Verdaguer, E., Stochastic Gross-Pitaevskii equation for BEC via Coarse-Grained effective action (2007) Int. J. Mod. Phys., 21, pp. 4239-4247
- Calzetta Roura, E.A., Verdaguer, E., Stochastic description for open quantum systems (2003) Physica, 319, pp. 188-212
- Calzetta, E., Hu, B.L., Noise and fluctuations in semiclassical gravity (1994) Phys. Rev., 49 (12), p. 6636
- Hu, B.L., Matacz, A., Back reaction in semiclassical gravity: The Einstein-Langevin equation (1995) Phys. Rev., 51 (4), p. 1577
- Lombardo, F.C., Mazzitelli, F.D., Einstein-Langevin equations from running coupling constants (1997) Phys. Rev., 55 (6), p. 3889
- Hu, L.B., Verdaguer, E., Stochastic gravity: A primer with applications (2003) Class. Quantum Grav., 20 (6), p. 1
- Verdaguer, E., Stochastic gravity: Beyond semiclassical gravity (2007) J. Phys. Conf. Ser., 66, p. 012006
- Hu, B.L., Roura, A., Metric fluctuations of an evaporating black hole from backreaction of stress tensor fluctuations (2007) Phys. Rev., 76 (12), p. 124018
- Ford, L.H., Stochastic spacetime and Brownian motion of test particles international (2005) J. Theor. Phys., 44 (10), p. 1753
- Arteaga, D., Parentani, R., Verdaguer, E., Propagation in a thermal graviton background (2004) Phys. Rev., 70 (4), p. 044019
- Hu, B.L., Roura, A., Verdaguer, E., Induced quantum metric fluctuations and the validity of semiclassical gravity (2004) Phys. Rev., 70 (4), p. 044002
- Johnson, P.R., Hu, B.L., Stochastic theory of relativistic particles moving in a quantum field: Scalar Abraham-Lorentz-Dirac-Langevin equation, radiation reaction, and vacuum fluctuations (2002) Phys. Rev., 65 (6), p. 065015
- Mottola, E., Quantum fluctuation-dissipation theorem for general relativity (1986) Phys. Rev., 33 (8), pp. 2136-2146
- Kuo, C.-I., Ford, L.H., Semiclassical gravity theory and quantum fluctuations (1993) Phys. Rev., 47 (10), pp. 4510-4519
- Roura, A., Verdaguer, E., Spacelike fluctuations of the stress tensor for de Sitter vacuum (1999) Int. J. Theor. Phys., 38 (11), p. 3123
- Phillips, N.G., Hu, B.L., Noise kernel and the stress energy bitensor of quantum fields in hot flat space and the Schwarzschild black hole under the Gaussian approximation (2003) Phys. Rev., 67 (10), p. 104002
- Anderson, P.R., Molina-Paris, C., Mottola, E., Short distance and initial state effects in inflation: Stress tensor and decoherence (2005) Phys. Rev., 72 (4), p. 043515
- Pérez-Nadal, G., Roura, A., Verdaguer, E., Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity (2008) Phys. Rev., 77 (12), p. 124033
- Steinhauer, J., Ozeri, R., Katz, N., Davidson, N., Excitation spectrum of a Bose-Einstein condensate (2002) Phys. Rev. Lett., 88 (12), p. 120407
- Steinhauer, J., Katz, N., Ozeri, R., Davidson, N., Tozzo, C., Dalfovo, F., Bragg spectroscopy of the multibranch Bogoliubov spectrum of elongated Bose-Einstein condensates (2003) Phys. Rev. Lett., 90 (6), p. 060404
- Pitaevskii, L., Stringari, S., (2003) Bose-Einstein Condensation
- Berges, J., N-particle irreducible effective action techniques for gauge theories (2004) Phys. Rev., 70 (10), p. 105010
- Carrington, M.E., Kovalchuk, E., Leading order QED electrical conductivity from the three-particle irreducible effective action (2008) Phys. Rev., 77 (2), p. 025015
- Chou, K., Su, Z., Hao, B., Yu, L., Equilibrium and nonequilibrium formalisms made unified (1985) Phys. Rep., 118 (1-2), p. 1
- De Dominicis, C., Martin, P.C., Stationary entropy principle and renormalization in normal and superfluid systems i (1964) J. Math. Phys., 5 (1), p. 14
- De Dominicis, C., Martin, P.C., Stationary entropy principle and renormalization in normal and superfluid systems II (1964) J. Math. Phys., 5 (1), p. 31
- Norton, R., Cornwall, J., On the formalism of relativistic many body theory (1975) Ann. Phys., NY, 91 (1), p. 106
- Kim, C., Can we obtain the four-particle-irreducible effective action from the fourth Legendre transformation? (2005) Phys. Rev., 72 (8), p. 085007
- Calzetta, E., Hu, B.L., Decoherence of correlation histories (1993) Directions in General Relativity, Vol II: Brill Festschrift
- Calzetta, E., Hu, B.L., Correlations, decoherence, dissipation and noise in quantum field theory (1995) Heat Kernel Techniques and Quantum Gravity
- Calzetta, E., Hu, B.L., Stochastic dynamics of correlations in quantum field theory: From the Schwinger-Dyson to Boltzmann-Langevin equation (1999) Phys. Rev., 61 (2), p. 025012
- Greiner, C., Leupold, S., Stochastic interpretation of Kadanoff-Baym equations and their relation to Langevin processes (1998) Ann. Phys., NY, 270 (2), pp. 328-390
- Martin, P.C., Siggia, E.D., Rose, H.A., (1973) Phys. Rev., 8 (1), p. 423
- Cooper Khare, F.A., Rose, H., (2001) Phys. Lett., 515 (3-4), p. 463
- Zanella, J., Calzetta, E., (2002) Phys. Rev., 66 (3), p. 036134
- Chaichian, M., Demichev, A., (2001) Path Integrals in Physics: Stochastic Processes and Quantum Mechanics, 1
- Chaichian, M., Demichev, A., (2001) Path Integrals in Physics: Quantum Field Theory, Statistical Physics and Other Modern Applications, 2
Citas:
---------- APA ----------
(2009)
. Fourth-order full quantum correlations from a Langevin-Schwinger-Dyson equation. Journal of Physics A: Mathematical and Theoretical, 42(26).
http://dx.doi.org/10.1088/1751-8113/42/26/265401---------- CHICAGO ----------
Calzetta, E.
"Fourth-order full quantum correlations from a Langevin-Schwinger-Dyson equation"
. Journal of Physics A: Mathematical and Theoretical 42, no. 26
(2009).
http://dx.doi.org/10.1088/1751-8113/42/26/265401---------- MLA ----------
Calzetta, E.
"Fourth-order full quantum correlations from a Langevin-Schwinger-Dyson equation"
. Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 26, 2009.
http://dx.doi.org/10.1088/1751-8113/42/26/265401---------- VANCOUVER ----------
Calzetta, E. Fourth-order full quantum correlations from a Langevin-Schwinger-Dyson equation. J. Phys. Math. Theor. 2009;42(26).
http://dx.doi.org/10.1088/1751-8113/42/26/265401