Baryon-baryon scattering in the Gross-Neveu model: the large N solution

Dunne, Gerald V.; Fitzner, Christian; Thies, Michael

doi:10.1103/PhysRevD.84.105014

Baryon-baryon scattering in the Gross-Neveu model: the large N solution

Aug, 2011

22 pages

Published in:

Phys.Rev.D 84 (2011) 105014

e-Print:

1108.5888 [hep-th]

DOI:

10.1103/PhysRevD.84.105014

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Abstract: (arXiv)

The scattering of two Dashen-Hasslacher-Neveu (DHN) baryons in the large N Gross-Neveu model is solved exactly using the relativistic, time-dependent Hartree-Fock approach. Unlike the special case of kink-antikink scattering, the scattering of DHN baryons is sensitive to the back-reaction of the fermions bound inside the baryons. Correspondingly the solution is much more complicated than the kink-antikink scattering solutions, which can be expressed in terms of sinh-Gordon solitons. Nevertheless, we present a simple ansatz form that gives closed analytic expressions for both the space-time dependent mean fields and the Dirac spinors for all continuum and bound states. The solution can also be applied to the scattering of polarons and solitons in conducting polymers.

Note:

22 pages, 5 figures

11.10.-z
11.10.Kk
baryon baryon: scattering
spinor: Dirac
Gross-Neveu model
expansion 1/N
back reaction
bound state
condensation: scalar
baryon: ground state

References(29)

Figures(6)

Dynamical Symmetry Breaking in Asymptotically Free Field Theories

- Phys.Rev.D 10 (1974) 3235
•
DOI:
- 10.1103/PhysRevD.10.3235

Ultraviolet Behavior of Nonabelian Gauge Theories

David J. Gross
(
- Princeton U.
)
,
Frank Wilczek
(
- Princeton U.
)

- Phys.Rev.Lett. 30 (1973) 1343-1346,
- Also in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 233-236,
•
DOI:
- 10.1103/PhysRevLett.30.1343

Reliable Perturbative Results for Strong Interactions?

H.David Politzer
(
- Harvard U.
)

- Phys.Rev.Lett. 30 (1973) 1346-1349,
- Also in *Mohapatra, R. N. (Ed.), Lai, C. H. (Ed.): Gauge Theories Of Fundamental Interactions*, 333-336, and in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 237-240,
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 243-246,
•
DOI:
- 10.1103/PhysRevLett.30.1346

Semiclassical Bound States in an Asymptotically Free Theory

- Phys.Rev.D 12 (1975) 2443
•
DOI:
- 10.1103/PhysRevD.12.2443

Solitons with Fermion Number 1/2

R. Jackiw
(
- MIT, LNS
)
,
C. Rebbi
(
- MIT, LNS
)

- Phys.Rev.D 13 (1976) 3398-3409
•
DOI:
- 10.1103/PhysRevD.13.3398

All about the static fermion bags in the Gross-Neveu model

Joshua Feinberg
(
- Haifa U. and
- Technion
)

- Annals Phys. 309 (2004) 166-231
•
e-Print:
- hep-th/0305240
•
DOI:
- 10.1016/j.aop.2003.08.004

- J.Appl.Phys. 27 1503

- Phys.Rev.A 47 897

Analytical solution of the Gross-Neveu model at finite density

Michael Thies
(
- Erlangen - Nuremberg U., Theorie III
)

- Phys.Rev.D 69 (2004) 067703
•
e-Print:
- hep-th/0308164
•
DOI:
- 10.1103/PhysRevD.69.067703

THE PHASE DIAGRAM OF THE INFINITE N GROSS-NEVEU MODEL AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL

U. Wolff
(
- New York U.
)

- Phys.Lett.B 157 (1985) 303-308
•
DOI:
- 10.1016/0370-2693(85)90671-9

Phase diagram of the Gross-Neveu model: Exact results and condensed matter precursors

- Annals Phys. 314 (2004) 425-447
•
e-Print:
- hep-th/0402014
•
DOI:
- 10.1016/j.aop.2004.06.009

Baryons in the 1/n Expansion

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 160 (1979) 57-115
•
DOI:
- 10.1016/0550-3213(79)90232-3

Covariant boost and structure functions of baryons in Gross-Neveu models

- Phys.Rev.D 81 (2010) 085002
•
e-Print:
- 0910.5351
•
DOI:
- 10.1103/PhysRevD.81.085002

Kink dynamics, sinh-Gordon solitons and strings in AdS $_{3}$ from the Gross-Neveu model

- J.Phys.A 43 (2010) 375401
•
e-Print:
- 1006.0324
•
DOI:
- 10.1088/1751-8113/43/37/375401

Integrability of the Classical Scalar and Symmetric Scalar-Pseudoscalar Contact Fermi Interactions in Two-Dimensions

- Commun.Math.Phys. 58 (1978) 31
•
DOI:
- 10.1007/BF01624787

Exact solution of N baryon problem in the Gross-Neveu model

- Phys.Rev.D 83 (2011) 085001
•
e-Print:
- 1010.5322
•
DOI:
- 10.1103/PhysRevD.83.085001

Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings

Gokce Basar
(
- Connecticut U.
)
,
Gerald V. Dunne
(
- Connecticut U.
)

- JHEP 01 (2011) 127
•
e-Print:
- 1011.3835
•
DOI:
- 10.1007/JHEP01(2011)127

Solitons and AdS String Solutions

Antal Jevicki
(
- Brown U.
)
,
Kewang Jin
(
- Brown U.
)

- Int.J.Mod.Phys.A 23 (2008) 2289-2298
•
e-Print:
- 0804.0412
•
DOI:
- 10.1142/S0217751X0804113X

Exact S Matrix of Gross-Neveu Elementary Fermions

- Phys.Lett.B 72 (1978) 481-483
•
DOI:
- 10.1016/0370-2693(78)90738-4

The S Matrix of the Kinks of the ( $\psi^-$ bar $\psi$ )**2 Model

R. Shankar
(
- Yale U.
)
,
Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 141 (1978) 349,
- Nucl.Phys.B 148 (1979) 538 (erratum),
- Nucl.Phys.B148 (1979) 538.(Nucl.Phys.B141 (1978) 349)
•
DOI:
- 10.1016/0550-3213(78)90031-7

Complete $S$ Matrix of the O( $2N$ ) {Gross-Neveu} Model

M. Karowski
(
- Freie U., Berlin
)
,
H.J. Thun
(
- Hamburg U.
)

- Nucl.Phys.B 190 (1981) 61-92
•
DOI:
- 10.1016/0550-3213(81)90484-3

Baryons in massive Gross-Neveu models

- Phys.Rev.D 71 (2005) 105008
•
e-Print:
- hep-th/0502210
•
DOI:
- 10.1103/PhysRevD.71.105008

Stable fermion bag solitons in the massive Gross-Neveu model: Inverse scattering analysis

Joshua Feinberg
(
- Haifa U. and
- Technion
)
,
Shlomi Hillel
(
- Technion
)

- Phys.Rev.D 72 (2005) 105009
•
e-Print:
- hep-th/0509019
•
DOI:
- 10.1103/PhysRevD.72.105009

Global structure of moduli space for BPS walls

Minoru Eto
(
- Tokyo Inst. Tech.
)
,
Youichi Isozumi
(
- Tokyo Inst. Tech.
)
,
Muneto Nitta
(
- Tokyo Inst. Tech.
)
,
Keisuke Ohashi
(
- Tokyo Inst. Tech.
)
,
Kazutoshi Ohta
(
- Wako, RIKEN
)

et al.

- Phys.Rev.D 71 (2005) 105009
•
e-Print:
- hep-th/0503033
•
DOI:
- 10.1103/PhysRevD.71.105009

Bulk viscosity of the massive Gross-Neveu model

Daniel Fernandez-Fraile
(
- Frankfurt U.
)

- Phys.Rev.D 83 (2011) 065001
•
e-Print:
- 1009.2741
•
DOI:
- 10.1103/PhysRevD.83.065001

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