64,130 research outputs found
Systematic Renormalization in Hamiltonian Light-Front Field Theory: The Massive Generalization
Hamiltonian light-front field theory can be used to solve for hadron states
in QCD. To this end, a method has been developed for systematic renormalization
of Hamiltonian light-front field theories, with the hope of applying the method
to QCD. It assumed massless particles, so its immediate application to QCD is
limited to gluon states or states where quark masses can be neglected. This
paper builds on the previous work by including particle masses
non-perturbatively, which is necessary for a full treatment of QCD. We show
that several subtle new issues are encountered when including masses
non-perturbatively. The method with masses is algebraically and conceptually
more difficult; however, we focus on how the methods differ. We demonstrate the
method using massive phi^3 theory in 5+1 dimensions, which has important
similarities to QCD.Comment: 7 pages, 2 figures. Corrected error in Eq. (11), v3: Added extra
disclaimer after Eq. (2), and some clarification at end of Sec. 3.3. Final
published versio
Asymptotic Freedom and Bound States in Hamiltonian Dynamics
We study a model of asymptotically free theories with bound states using the
similarity renormalization group for hamiltonians. We find that the
renormalized effective hamiltonians can be approximated in a large range of
widths by introducing similarity factors and the running coupling constant.
This approximation loses accuracy for the small widths on the order of the
bound state energy and it is improved by using the expansion in powers of the
running coupling constant. The coupling constant for small widths is order 1.
The small width effective hamiltonian is projected on a small subset of the
effective basis states. The resulting small matrix is diagonalized and the
exact bound state energy is obtained with accuracy of the order of 10% using
the first three terms in the expansion. We briefly describe options for
improving the accuracy.Comment: plain latex file, 15 pages, 6 latex figures 1 page each, 1 tabl
Systematic Renormalization in Hamiltonian Light-Front Field Theory
We develop a systematic method for computing a renormalized light-front field
theory Hamiltonian that can lead to bound states that rapidly converge in an
expansion in free-particle Fock-space sectors. To accomplish this without
dropping any Fock sectors from the theory, and to regulate the Hamiltonian, we
suppress the matrix elements of the Hamiltonian between free-particle
Fock-space states that differ in free mass by more than a cutoff. The cutoff
violates a number of physical principles of the theory, and thus the
Hamiltonian is not just the canonical Hamiltonian with masses and couplings
redefined by renormalization. Instead, the Hamiltonian must be allowed to
contain all operators that are consistent with the unviolated physical
principles of the theory. We show that if we require the Hamiltonian to produce
cutoff-independent physical quantities and we require it to respect the
unviolated physical principles of the theory, then its matrix elements are
uniquely determined in terms of the fundamental parameters of the theory. This
method is designed to be applied to QCD, but for simplicity, we illustrate our
method by computing and analyzing second- and third-order matrix elements of
the Hamiltonian in massless phi-cubed theory in six dimensions.Comment: 47 pages, 6 figures; improved referencing, minor presentation change
The dimension of loop-erased random walk in 3D
We measure the fractal dimension of loop-erased random walk (LERW) in 3
dimensions, and estimate that it is 1.62400 +- 0.00005. LERW is closely related
to the uniform spanning tree and the abelian sandpile model. We simulated LERW
on both the cubic and face-centered cubic lattices; the corrections to scaling
are slightly smaller for the face-centered cubic lattice.Comment: 4 pages, 4 figures. v2 has more data, minor additional change
Pilot cryo tunnel: Attachments, seals, and insulation
Several different tests are described which simulated the actual configuration of a cryogenic wind tunnel operating at pressures up to 5 atmospheres (507 kPa) and temperatures from -320 F (78K) to 120 F (322K) in order to determine compatible bolting, adequate sealing, and effective insulating materials. The evaluation of flange attachments (continuous threaded studs) considered bolting based on compatible flanges, attachment materials, and prescribed bolt elongations. Various types of seals and seal configurations were studied to determine suitability and reusability under the imposed pressure and temperature loadings. The temperature profile was established for several materials used for structural supports
Optimization of field-dependent nonperturbative renormalization group flows
We investigate the influence of the momentum cutoff function on the
field-dependent nonperturbative renormalization group flows for the
three-dimensional Ising model, up to the second order of the derivative
expansion. We show that, even when dealing with the full functional dependence
of the renormalization functions, the accuracy of the critical exponents can be
simply optimized, through the principle of minimal sensitivity, which yields
and .Comment: 4 pages, 3 figure
Top, Bottom Quarks and Higgs Bosons
In this talk, I will discuss possible new physics effects that modify the
interaction of Higgs boson(s) with top and bottom quarks, and discuss how to
detect such effects in current and future high energy colliders.Comment: LaTeX, 16 pages including 5 figure
Mesons in (2+1) Dimensional Light Front QCD. II. Similarity Renormalization Approach
Recently we have studied the Bloch effective Hamiltonian approach to bound
states in 2+1 dimensional gauge theories. Numerical calculations were carried
out to investigate the vanishing energy denominator problem. In this work we
study similarity renormalization approach to the same problem. By performing
analytical calculations with a step function form for the similarity factor, we
show that in addition to curing the vanishing energy denominator problem,
similarity approach generates linear confining interaction for large transverse
separations. However, for large longitudinal separations, the generated
interaction grows only as the square root of the longitudinal separation and
hence produces violations of rotational symmetry in the spectrum. We carry out
numerical studies in the G{\l}azek-Wilson and Wegner formalisms and present low
lying eigenvalues and wavefunctions. We investigate the sensitivity of the
spectra to various parameterizations of the similarity factor and other
parameters of the effective Hamiltonian, especially the scale . Our
results illustrate the need for higher order calculations of the effective
Hamiltonian in the similarity renormalization scheme.Comment: 31 pages, 4 figures, to be published in Physical Review
The First World War Centenary in the UK: ‘A Truly National Commemoration’?
Prime Minister David Cameron has called for ‘a truly national commemoration of the First World War’. This article shows this to be problematic, politicised and contested. This is in part due to the elision of English and British histories. Scottish, Welsh and Irish responses are noted, and the role and commemorations of ‘our friends in the Commonwealth’. There are tensions around interpretations of empire and race. There has been a failure to appreciate that the debates about the legacies of the First World War are deeply entangled with those of colonialism
The Misprediction of emotions in Track Athletics.: Is experience the teacher of all things?
People commonly overestimate the intensity of their emotions toward future events. In other words, they display an impact bias. This research addresses the question whether people learn from their experiences and correct for the impact bias. We hypothesize that athletes display an impact bias and, counterintuitively, that increased experience with an event increases this impact bias. A field study in the context of competitive track athletics supported our hypotheses by showing that athletes clearly overestimated their emotions toward the outcome of a track event and that this impact bias was more pronounced for negative events than for positive events. Moreover, with increased athletic experience this impact bias became larger. This effect could not be explained by athletes’ forecasted emotions, but it could be explained by the emotions they actually felt following the race. The more experience athletes had with athletics, the less they felt negative emotions after unsuccessful goal attainment. These findings are discussed in relation to possible underlying emotion regulation processes
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