TITLE

Invariant regularization of one-loop determinant in non-renormalizable models

AUTHOR(S)
Osipov, A. A.; Hiller, B.; Blin, A. H.
PUB. DATE
March 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 508 Issue 1, p283
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We use proper-time regularizations to define the one-loop fermion determinant in the form suggested by Gasser and Leutwyler some years ago. We show how to obtain the polynomial by which this definition of ln det D needs to be modified in order to arrive at the fermion determinant whose modulus is invariant under chiral transformations. As an example it is shown how the fundamental symmetries associated with the NJL model are preserved in a consistent way. © 2000 American Institute of Physics.
ACCESSION #
6028936

 

Related Articles

  • Two perspectives on the twist of DNA. Britton, Lauren A.; Olson, Wilma K.; Tobias, Irwin // Journal of Chemical Physics;12/28/2009, Vol. 131 Issue 24, p245101 

    Because of the double-helical structure of DNA, in which two strands of complementary nucleotides intertwine around each other, a covalently closed DNA molecule with no interruptions in either strand can be viewed as two interlocked single-stranded rings. Two closed space curves have long been...

  • Gauge-invariant masses through Schwinger-Dyson equations. Bashir, A.; Raya, A. // AIP Conference Proceedings;2007, Vol. 892 Issue 1, p245 

    Schwinger-Dyson equations (SDEs) are an ideal framework to study non-perturbative phenomena such as dynamical chiral symmetry breaking (DCSB). A reliable truncation of these equations leading to gauge invariant results is a challenging problem. Constraints imposed by Landau-Khalatnikov-Fradkin...

  • Meson-baryon scattering in manifestly Lorentz invariant chiral perturbation theory. Mai, Maxim; Bruns, Peter C.; Kubis, Bastian; Meißner, Ulf-G. // AIP Conference Proceedings;10/24/2011, Vol. 1374 Issue 1, p481 

    We analyze meson-baryon scattering lengths in the framework of covariant baryon chiral perturbation theory at leading one-loop order. We compute the complete set of matching relations between the dimension-two low-energy constants in the two- and three-flavor formulations of the theory. We...

  • Brief review of some modified versions of the Nambu-Jona-Lasinio model. Jaminon, M. // AIP Conference Proceedings;2000, Vol. 508 Issue 1, p273 

    Two modified versions of the NJL model are investigated. The first one has the SU(2) chiral symmetry and describes the spin 1 ρ meson starting from a 4-point tensor interaction. The second one has the SU(3) symmetry and implements the trace anomaly of QCD. © 2000 American Institute of Physics.

  • ρ-mass modification in dense medium some recent studies in finite nucleus. Bhattacharyya, Abhijit // AIP Conference Proceedings;2000, Vol. 508 Issue 1, p246 

    The modification of the ρ-meson mass inside a finite nucleus will be discussed from an effective model of nuclear matter. Recent experiments have shown that there is a substantial decrease in the ρ-meson mass inside the He[sup 3] nucleus. Some authors have claimed that this is a signature...

  • The sigma meson and chiral restoration in the hot and/or dense nuclear matter. Kunihiro, T. // AIP Conference Proceedings;2000, Vol. 508 Issue 1, p217 

    We first indicated that if the collective modes with the mass 500–700 MeV exists in the I=J=0 channel, various empirical facts in hadron physics can be naturally accounted for, which otherwise would remain mysterious. We proposed several experiments to produce and detect the σ in...

  • Threshold behavior and electro-optical properties of twisted nematic layers with weak anchoring in the tilt and twist angle. Hirning, R.; Funk, W.; Trebin, H.-R.; Schmidt, M.; Schmiedel, H. // Journal of Applied Physics;10/15/1991, Vol. 70 Issue 8, p4211 

    Presents analytical and numerical calculations of threshold behavior and electro-optical properties of twisted chiral nematic layers with weak anchoring in the tilt and twist angle. Major features that determined the director configuration in twisted nematic layers; Calculation of the...

  • Chiral Symmetry and Scalars. Tuan, S. F. // AIP Conference Proceedings;2002, Vol. 619 Issue 1, p495 

    The suggestion by Jaffe that if σ is a light q[sup 2]q[sup -2] state 0[sup ++] then even the fundamental chiral transformation properties of the σ becomes unclear, has stimulated much interest. Adler pointed out that in fact the seminal work on chiral symmetry via PCAC consistency, is...

  • The f0 Mesons in Processes ππ → ππ, KK¯. Surovtsev, Yu. S.; Krupa, D.; Nagy, M. // AIP Conference Proceedings;2002, Vol. 619 Issue 1, p491 

    Combined analysis the experimental data on the processes ππ → ππ K&Kmacr; in the channel with I[sup G]J[sup PC] = 0[sup +]0[sup ++] in a model-independent approach leads to the following results: 1) The f[sub 0] (665) state with properties of the σ-meson is proved to...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics