1,900 research outputs found
A note on the practical feasibility of domain-wall fermions
Domain-wall fermions preserve chiral symmetry up to terms that decrease
exponentially when the lattice size in the fifth dimension is taken to
infinity. The associated rates of convergence are given by the low-lying
eigenvalues of a simple local operator in four dimensions. These can be
computed using the Ritz functional technique and it turns out that the
convergence tends to be extremely slow in the range of lattice spacings
relevant to large-volume numerical simulations of lattice QCD. Two methods to
improve on this situation are discussed.Comment: 14 pages, talk given by P. H. at the workshop on {\em Current
theoretical problems in lattice field theory}, Ringberg, German
Large rescaling of the Higgs condensate: theoretical motivations and lattice results
In the Standard Model the Fermi constant is associated with the vacuum
expectation value of the Higgs field, `the condensate', usually believed to be
a cutoff-independent quantity. General arguments related to the `triviality' of
theory in 4 space-time dimensions suggest, however, a dramatic
renormalization effect in the continuum limit that is clearly visible on the
relatively large lattices available today. The result can be crucial for the
Higgs phenomenology and in any context where spontaneous symmetry breaking is
induced through scalar fields.Comment: LATTICE99(Higgs) 3 pages, 3 figure
A perturbative determination of O(a) boundary improvement coefficients for the Schr\"odinger Functional coupling at 1-loop with improved gauge actions
We determine O() boundary improvement coefficients up to 1-loop level for
the Schr\"odinger Functional coupling with improved gauge actions including
plaquette and rectangle loops. These coefficients are required to implement
1-loop O() improvement in full QCD simulations for the coupling with the
improved gauge actions. To this order, lattice artifacts of step scaling
function for each improved gauge action are also investigated. In addition,
passing through the SF scheme, we estimate the ratio of -parameters
between the improved gauge actions and the plaquette action more accurately.Comment: 17 pages, 2 figures, 6 table
Quark confinement and the bosonic string
Using a new type of simulation algorithm for the standard SU(3) lattice gauge
theory that yields results with unprecedented precision, we confirm the
presence of a correction to the static quark potential at large
distances , with a coefficient as predicted by the bosonic string
theory. In both three and four dimensions, the transition from perturbative to
string behaviour is evident from the data and takes place at surprisingly small
distances.Comment: TeX source, 21 pages, figures include
Spin-flop transitions and spin-wave gaps in La_2CuO_4
We study the spin-wave spectrum and the spin-flop transitions in La_2CuO_4 in
a uniform magnetic field at zero temperature. Using the non-linear sigma-model,
we show that a field applied along the orthorhombic b direction leads to a
two-step rotation of the staggered magnetization, first in the bc and then in
the ac plane, until the order parameter is completely aligned along the c axis.
In contrast, for a perpendicular magnetic field, we find a conventional
spin-flop transition induced by the competition between the field and the
interlayer coupling. A comparison with recent measurements of the
field-dependence of the in-plane spin-wave gap shows a beautiful agreement
between theory and experiments.Comment: 7 pages, 3 figures; added referenc
The D234 action for light quarks
We investigate a new light fermion action (the ``D234'' action), which is
accurate up to \O(a^3) and tadpole-improved \O(a \alpha_s) errors. Using
D234 with Symanzik- and tadpole-improved glue we find evidence that continuum
results for the quenched hadron spectrum (pion, rho and nucleon) can be
obtained on coarse lattices.Comment: Latex, 4 pages, submitted to Lattice '95 proceeding
Perturbative calculation of improvement coefficients to O(g^2a) for bilinear quark operators in lattice QCD
We calculate the O(g^2 a) mixing coefficients of bilinear quark operators in
lattice QCD using a standard perturbative evaluation of on-shell Green's
functions. Our results for the plaquette gluon action are in agreement with
those previously obtained with the Schr\"odinger functional method. The
coefficients are also calculated for a class of improved gluon actions having
six-link terms.Comment: 14 pages, REVTe
The gradient flow running coupling with twisted boundary conditions
We study the gradient flow for Yang-Mills theories with twisted boundary
conditions. The perturbative behavior of the energy density is used to define a running coupling at a scale given by the
linear size of the finite volume box. We compute the non-perturbative running
of the pure gauge coupling constant and conclude that the technique is
well suited for further applications due to the relatively mild cutoff effects
of the step scaling function and the high numerical precision that can be
achieved in lattice simulations. We also comment on the inclusion of matter
fields.Comment: 27 pages. LaTe
Towards Weyl fermions on the lattice without artefacts
In spite of the breakthrough in non-perturbative chiral gauge theories during
the last decade, the present formulation has stubborn artefacts. Independently
of the fermion representation one is confronted with unwanted CP violation and
infinitely many undetermined weight factors. Renormalization group identifies
the culprit. We demonstrate the procedure on Weyl fermions in a real
representation
Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
The Yukawa-Higgs/Ginsparg-Wilson-fermion construction of chiral lattice gauge
theories described in hep-lat/0605003 uses exact lattice chirality to decouple
the massless chiral fermions from a mirror sector, whose strong dynamics is
conjectured to give cutoff-scale mass to the mirror fermions without breaking
the chiral gauge symmetry. In this paper, we study the mirror sector dynamics
of a two-dimensional chiral gauge theory in the limitof strong Yukawa and
vanishing gauge couplings, in which case it reduces to an XY model coupled to
Ginsparg-Wilson fermions. For the mirror fermions to acquire cutoff-scale mass
it is believed to be important that the XY model remain in its "high
temperature" phase, where there is no algebraic ordering--a conjecture
supported by the results of our work. We use analytic and Monte-Carlo methods
with dynamical fermions to study the scalar and fermion susceptibilities, and
the mirror fermion spectrum. Our results provide convincing evidence that the
strong dynamics does not "break" the chiral symmetry (more precisely, that the
mirror fermions do not induce algebraic ordering in two-dimensions), and that
the mirror fermions decouple from the infrared physics.Comment: 44 pages, 18 figures; v2: clarification of fermion operators,
discussion of recent related work
- …