21 research outputs found
On gauge invariant regularization of fermion currents
We compare Schwinger and complex powers methods to construct regularized
fermion currents. We show that although both of them are gauge invariant they
not always yield the same result.Comment: 10 pages, 1 figur
Note on the energy-momentum tensor for general mixed tensor-spinor fields
This note provides an explicit proof of the equivalence of the Belinfante's
energy-momentum tensor and the metric energy-momentum tensor for general mixed
tensor-spinor fields.Comment: 7 pages, title changed, typos corrected, accepted for publication in
Communications in Theoretical Physic
Reply to Comment on "Localization and Metal-Insulator Transition in Multilayer Quantum Hall Structures"
This is a Reply to a Comment by Tanaka and Machida. We provide some details
of the derivation of the effective field theory for integer quantum Hall
transitions using the non-Abelian chiral anomaly.Comment: 1 page, RevTex, no figure
On renormalizability of the massless Thirring model
We discuss the renormalizability of the massless Thirring model in terms of
the causal fermion Green functions and correlation functions of left-right
fermion densities. We obtain the most general expressions for the causal
two-point Green function and correlation function of left-right fermion
densities with dynamical dimensions of fermion fields, parameterised by two
parameters. The region of variation of these parameters is constrained by the
positive definiteness of the norms of the wave functions of the states related
to components of the fermion vector current. We show that the dynamical
dimensions of fermion fields calculated for causal Green functions and
correlation functions of left-right fermion densities can be made equal. This
implies the renormalizability of the massless Thirring model in the sense that
the ultra-violet cut-off dependence, appearing in the causal fermion Green
functions and correlation functions of left-right fermion densities, can be
removed by renormalization of the wave function of the massless Thirring
fermion fields only.Comment: 17 pages, Latex, the contribution of fermions with opposite chirality
is added,the parameterisation of fermion determinant by two parameters is
confirmed,it is shown that dynamical dimensions of fermion fields calculated
from different correlation functions can be made equal.This allows to remove
the dependence on the ultra-violet cut-off by the renormalization of the wave
function of Thirring fermion fields onl
Gauge Invariance, Finite Temperature and Parity Anomaly in D=3
The effective gauge field actions generated by charged fermions in
and can be made invariant under both small and large gauge
transformations at any temperature by suitable regularization of the Dirac
operator determinant, at the price of parity anomalies. We resolve the paradox
that the perturbative expansion is not invariant, as manifested by the
temperature dependence of the induced Chern-Simons term, by showing that large
(unlike small) transformations and hence their Ward identities, are not
perturbative order-preserving. Our results are illustrated through concrete
examples of field configurations.Comment: 4 pages, RevTe
Effective QED Actions: Representations, Gauge Invariance, Anomalies and Mass Expansions
We analyze and give explicit representations for the effective abelian vector
gauge field actions generated by charged fermions with particular attention to
the thermal regime in odd dimensions, where spectral asymmetry can be present.
We show, through function regularization, that both small and large
gauge invariances are preserved at any temperature and for any number of
fermions at the usual price of anomalies: helicity/parity invariance will be
lost in even/odd dimensions, and in the latter even at zero mass. Gauge
invariance dictates a very general ``Fourier'' representation of the action in
terms of the holonomies that carry the novel, large gauge invariant,
information. We show that large (unlike small) transformations and hence their
Ward identities, are not perturbative order-preserving, and clarify the role of
(properly redefined) Chern-Simons terms in this context. From a powerful
representation of the action in terms of massless heat kernels, we are able to
obtain rigorous gauge invariant expansions, for both small and large fermion
masses, of its separate parity even and odd parts in arbitrary dimension. The
representation also displays both the nonperturbative origin of a finite
renormalization ambiguity, and its physical resolution by requiring decoupling
at infinite mass. Finally, we illustrate these general results by explicit
computation of the effective action for some physical examples of field
configurations in the three dimensional case, where our conclusions on finite
temperature effects may have physical relevance. Nonabelian results will be
presented separately.Comment: 36 pages, RevTeX, no figure
Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS(5) x S-5
We revisit the computation of the 1-loop string correction to the “latitude” minimal surface in AdS 5 × S 5 representing 1/4 BPS Wilson loop in planar N=4 SYM theory previously addressed in arXiv:1512.00841 and arXiv:1601.04708. We resolve the problem of matching with the subleading term in the strong coupling expansion of the exact gauge theory result (derived previously from localization) using a different method to compute determinants of 2d string fluctuation operators. We apply perturbation theory in a small parameter (angle of the latitude) corresponding to an expansion near the AdS 2 minimal surface representing 1/2 BPS circular Wilson loop. This allows us to compute the corrections to the heat kernels and zeta-functions of the operators in terms of the known heat kernels on AdS 2. We apply the same method also to two other examples of Wilson loop surfaces: generalized cusp and k-wound circle