scholarly journals Gauge-invariant response functions of fermions coupled to a gauge field

1994 ◽  
Vol 50 (24) ◽  
pp. 17917-17932 ◽  
Author(s):  
Yong Baek Kim ◽  
Akira Furusaki ◽  
Xiao-Gang Wen ◽  
Patrick A. Lee
Keyword(s):  
Gauge Field ◽  
Response Functions ◽  
Gauge Invariant ◽  
Invariant Response

scholarly journals Gauge-invariant response functions in algebraic Fermi liquids

2003 ◽  
Vol 68 (2) ◽  
Author(s):  
M. Franz ◽  
T. Pereg-Barnea ◽  
D. E. Sheehy ◽  
Z. Tešanović
Keyword(s):  
Fermi Liquids ◽  
Response Functions ◽  
Gauge Invariant ◽  
Invariant Response

Effective Locality QCD calculations and the Gribov copy problem

2020 ◽  
Vol 35 (27) ◽  
pp. 2050230 ◽  
Author(s):  
T. Grandou ◽  
R. Hofmann
Keyword(s):  
Gauge Field ◽  
Strong Coupling ◽  
Degrees Of Freedom ◽  
Green's Functions ◽  
Green’S Functions ◽  
Strong Coupling Limit ◽  
Unexpected Result ◽  
Remarkable Property ◽  
Gauge Invariant

Standard functional manipulations have been proven to imply a remarkable property satisfied by the fermionic Green’s functions of QCD and dubbed effective locality. Resulting from a full gauge invariant summation of the gauge field degrees of freedom, effective locality is a non-perturbative property of QCD. This unexpected result has lead to suspect that the famous Gribov copy problem had been somewhat overlooked. It is argued that it is not so. The analysis is conducted in the strong coupling limit, relevant to the Gribov problem.

scholarly journals PROBING THE FROISSART BOUND FOR MODELS WITH CHARGED VECTOR FIELDS IN D=3

1994 ◽  
Vol 09 (18) ◽  
pp. 1695-1700 ◽  
Author(s):  
O.M. DEL CIMA
Keyword(s):  
Asymptotic Behavior ◽  
Scattering Amplitudes ◽  
Gauge Field ◽  
Vector Fields ◽  
Three Dimensional ◽  
Tree Level ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Maxwell Fields ◽  
Chern Simons

One discusses the tree-level unitarity and presents asymptotic behavior of scattering amplitudes for three-dimensional gauge-invariant models where complex Chern- Simons-Maxwell fields (with and without a Proca-like mass) are coupled to an Abelian gauge field.

scholarly journals SUPERLUMINAL NEUTRINOS FROM GAUGE FIELD

2011 ◽  
Vol 26 (39) ◽  
pp. 2917-2921 ◽  
Author(s):  
ICHIRO ODA ◽  
HAJIME TAIRA
Keyword(s):  
Gauge Field ◽  
Local Effect ◽  
Gauge Invariant ◽  
The Earth

We consider a possibility that the recent OPERA results on neutrinos' superluminality could be caused by a local effect of a new gauge field sourced by the earth. If neutrinos couple to this gauge field via a gauge-invariant but non-renormalizable interaction, the coupling effectively changes a background metric, thereby leading to superluminality of neutrinos. This possibility might naturally explain why neutrinos from CERN CNGS beam to Gran Sasso Laboratory become superluminal while those from SN1987A to Earth become subluminal.

scholarly journals COLOR BOSONIZATION, CHIRAL PARAMETRIZATION OF GLUONIC FIELD AND QCD EFFECTIVE ACTION

2006 ◽  
Vol 21 (35) ◽  
pp. 2649-2661 ◽  
Author(s):  
VICTOR NOVOZHILOV ◽  
YURI NOVOZHILOV
Keyword(s):  
Vector Field ◽  
Gauge Field ◽  
Degrees Of Freedom ◽  
Axial Vector ◽  
Color Space ◽  
Chiral Anomaly ◽  
Chiral Field ◽  
Gauge Invariant ◽  
Low Energies ◽  
Color Vector

We develop a color bosonization approach to treat QCD gauge field ("gluons") at low energies in order to derive an effective color action of QCD taking into account the quark chiral anomaly in the case of SU(2) color. We have found that there exists such a region in the chiral sector of color space, where a gauge field coincides with chirally rotated vector field, while an induced axial vector field disappears. In this region, the unit color vector of chiral field plays a defining role, and a gauge field is parametrized in terms of chiral parameters, so that no additional degrees of freedom are introduced by the chiral field. A QCD gauge field decomposition in color bosonization is a sum of a chirally rotated gauge field and an induced axial-vector field expressed in terms of gluonic variables. An induced axial-vector field defines the chiral color anomaly and an effective color action of QCD. This action admits existence of a gauge invariant d = 2 condensate of induced axial-vector field and mass.

U(1) Gauge Theory as a Collective Field Theory for Hubbard Model

1988 ◽  
Vol 02 (05) ◽  
pp. 613-623 ◽  
Author(s):  
Tetsuo Matsui
Keyword(s):  
Field Theory ◽  
Hubbard Model ◽  
Gauge Field ◽  
Landau Theory ◽  
Ginzburg Landau ◽  
Gauge Invariant ◽  
High Tc ◽  
Invariant Order ◽  
Path Integral Method ◽  
Higgs Scalar

I construct a collective field theory for Hubbard model of high Tc superconductivity, using a path-integral method in the third quantized (slave boson) form. It is a U(1) gauge invariant theory consisting of a U(1) gauge field and a Higgs scalar. The gauge field stands for resonating valence bonds and describes a (short range) antiferro-paramagnet phase transition by a condensation machanism. The Higgs scalar represents spinless holes carrying electric charges. Through the confining gauge force, there formed bounded hole pairs on each link, which correspond to the vector mesons in lattice QCD. A superconducting phase is to be described by a condensation of a gauge invariant order parameter for these hole pairs, and to be compared with the color confining chirally broken phase in QCD. A Ginzburg-Landau theory for the vector hole-pair field is proposed.

scholarly journals LOCAL CHARGED STATES OF THE GAUGE FIELD IN THREE-DIMENSIONAL MAXWELL-TYPE THEORIES

1996 ◽  
Vol 11 (24) ◽  
pp. 1985-1997 ◽  
Author(s):  
E.C. MARINQ
Keyword(s):  
Magnetic Flux ◽  
Gauge Field ◽  
Correlation Functions ◽  
Topological Charge ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Subsidiary Condition ◽  
Maxwell Theory ◽  
Gauge Invariant ◽  
Creation Operators

Gauge-invariant local creation operators of charged states are introduced and studied in pure gauge theories of the Maxwell-type in (2+1) dimensions. These states are usually unphysical because of the subsidiary condition imposed on the physical subspace by Gauss’ law. A dual Maxwell theory which possesses a topological electric charge is introduced. Pure electrodynamics lies in the sector where the topological charge identically vanishes. Charge bearing operators completely expressed in terms of the gauge field, however, can create physical states in the nontrivial topological sectors which thereby generalize QED. An order–disorder structure exists relating the charged operators and the magnetic flux creating (vortex) operators, both through commutation rules and correlation functions. The relevance of this structure for bosonization in 2+1 dimensions is discussed.

Renormalization of Kernels in Stochastically Quantized Gauge-Invariant Fermionic Theories

1997 ◽  
Vol 12 (31) ◽  
pp. 5555-5571
Author(s):  
S. Musayev
Keyword(s):  
Gauge Field ◽  
Renormalization Constant ◽  
Langevin Equations ◽  
Mass Renormalization ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Equilibrium Limit ◽  
Nonequilibrium Theory ◽  
Β Function ◽  
Brst Invariance

Fermionic theory coupled to the non-Abelian gauge field is stochastically quantized by means of choosing certain quasilocal gauge-covariant kernel. One-loop renormalization is carried out for the whole system of the Langevin equations which are shown to be multiplicative renormalizable. Renormalization of noise correlators agrees with that of the kernel in the Langevin equations. In the equilibrium limit β-function and mass renormalization constant reproduce standard results. It is demonstrated that the nonequilibrium theory possesses BRST invariance.

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