42763584
Algebraic consistency in anomalous gauge theories.
A consistency condition for anomalous gauge theories is used to show that the usual form of the chiral anomaly is inadmissible and that a different but equivalent form yields Faddeev's Schwinger term.
120593680
Physical solution of chiral Schwinger model with new regularization
Abstract A recently proposed version of the chiral Schwinger model is solved in this paper. The exact fermion propagator is derived in a path integral approach. The operator equations of motion of the bosonised theory are solved. Finally, the operator solution of the fermionic form of the theory is constructed.
118592794
Area law for black hole entropy in the SU(2) quantum geometry approach
Black hole thermodynamics suggests that a black hole should have an entropy given by a quarter of the area of its horizon. Earlier calculations in U(1) loop quantum gravity have led to a dominant term proportional to the area, but there was a correction involving the logarithm of the area. We find however that SU(2) loop quantum gravity can provide an entropy that is strictly proportional to the area as expected from black hole thermodynamics.
7905729
Quantization of Gauge Theories with Anomalies
In this talk, we briefly review the basic concepts of anomalous gauge theories. It has been known for some time how theories with local anomalies can be handled. Recently it has been pointed out that global anomalies, which obstruct the quantization of certain gauge theories in the temporal gauge, get bypassed in canonical quantization.
122261153
Generalized Grassmann variables for anyon field theory
Abstract Just as fermion fields have to be represented by anticommuting variables, anyon fields require q -commuting ones. Properties of such variables and their integration rules are discussed here, mainly for the case of semions ( q = ± i ).
121982569
MANIFEST AND NON-MANIFEST LORENTZ INVARIANCE FOR GAUGED SELF-DUAL BOSONS
The standard chiral way of gauging self-dual bosons can be described in either a non-manifestly Lorentz invariant formalism or a formalism where auxiliary fields are used to make Lorentz invariance manifest. The two descriptions are shown to be equivalent. The vector way of gauging, which is inconsistent in the second formalism, is shown to break Lorentz invariance in the first. Finally the new chiral way of gauging recently introduced by us in the first formalism is shown to admit a description in the second.
35025289
Hadronic transition amplitudes under null-plane Bethe-Salpeter dynamics.
A two-tier form of the Bethe-Salpeter (BS) framework is employed for the evaluation of a few typical transition amplitudes involving strong and electromagnetic decays of qq-bar hadrons with Lgreater than or equal to0. The two-tier BS framework, whose rationale has been described in some recent publications, is characterized by (i) a three-dimensional reduction of the BS equation under the null-plane ansatz to make a first contact with mass spectral data and (ii) a reconstructed four-dimensional BS wave function to restore the virtual qq-bar effects (higher Fock states) for the evaluation of hadronic transition amplitudes through the lowest-order Feynman (quark-triangle) diagrams. The processes explicitly considered are the pion form factor F/sub ..pi../(k/sup 2/), (..omega..,a/sub 2/)..--> gamma pi.., (rho,f/sub 2/)->..pi pi.., (a/sub 1/,a/sub 2/)..-->..rho..pi.., and b/sub 1/..--> omega pi... These illustrate the different types of coupling structures that are generally encountered in such a composite-hadron model. The agreement with the data on almost all these amplitudes is excellent, using the same basic constants (..omega../sub 0/,C/sub 0/,m/sub u//sub d/) as employed recently for a successful description of the mass spectra of qq-bar and qqq hadrons, as well as of some pionic amplitudes.
30997914
Null-plane Bethe-Salpeter dynamics: Mass spectra, decay constants of pseudoscalar mesons, and the pion form factor.
A new relativistic definition of the reduced mass ({mu}{sub 12}) of a {ital q{bar q}} pair, so as to be in conformity with the standard Wightman-Garding definition of its relative four-momenta {ital q}{sub {mu}}, is introduced into the kernel of an ongoing Bethe-Salpeter (BS) program on a two-tier basis. The new definition of {mu}{sub 12} (involving the hadron mass {ital M}) is found to produce a natural Regge asymptotic behavior ({ital M}{sup 2}{approximately}{ital N}) in the hadron mass spectra, while retaining the property of an asymptotically linear ({approximately}{ital r}) confinement in the three-dimensional structure of the BS kernel. The relativistic structure of {mu}{sub 12} is responsible for a significant improvement in the fits to the ground-state masses of {ital q{bar q}} and {ital Q{bar q}} mesons as compared to its nonrelativistic definition {ital m}{sub 1}{ital m}{sub 2}/({ital m}{sub 1}+{ital m}{sub 2}). The leptonic decay constants {ital f}{sub {ital p}} and the charge radii thus calculated are also in excellent agreement with data ({pi},{ital k}) where available, while {ital f}{sub {ital p}} predictions for {ital Q{bar q}} mesons have good overlap with recent lattice predictions. Further, the scaling property ({approximately}{ital k}{sub {mu}}{sup {minus}2}) of the hadron's electromagnetic form factor at largemore » {ital k}{sup 2} is a consequence of the on-shell'' form of its null-plane wave function. All these results (which are indicated in the barest outline) are preceded by a perspective summary of the theoretical premises and practical working of the BS equation with a four-fermion interaction kernel as a necessary background on a two-tier basis.« less