scholarly journals The new "Gauge Connection" at NERSC

2014 ◽  
Author(s):  
Massimo Dipierro ◽  
James Hetrick ◽  
Shreyas Cholia ◽  
James Simone ◽  
Carleton DeTar
Keyword(s):  
Gauge Connection

Best Matching: Technical Details

2018 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Point Particle ◽  
Euclidean Group ◽  
Scale Invariant ◽  
Similarity Group ◽  
N Body Problem ◽  
Technical Details ◽  
Matching Procedure ◽  
Principal Fibre ◽  
Principal Fibre Bundle ◽  
Gauge Connection

The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge connection on the time axis, which is a representation of the Euclidean group of rotations and translations (or, possibly, the similarity group which includes dilatations). To accommodate temporal relationalism, the variational principle needs to be invariant under reparametrizations. The simplest way to realize this in point–particle mechanics is to use Jacobi’s reformulation of Mapertuis’ principle. The chapter concludes with the relational reformulation of the Newtonian N-body problem (and its scale-invariant variant).

GENERALIZED NONCOMMUTATIVE SUPERALGEBRAS

2003 ◽  
Vol 18 (08) ◽  
pp. 587-599 ◽  
Author(s):  
REZA ABBASPUR
Keyword(s):  
Gauge Symmetry ◽  
Gauge Group ◽  
Central Extension ◽  
Unified Framework ◽  
Fermionic Operators ◽  
Gauge Connection

Using the notions of gauge symmetry and gauge connection on ordinary superspaces, we derive a class of generalized supertranslation algebras in the case of N = 1, D = 2 Euclidean superspace with a U(1) gauge group. This generalizes the ordinary algebra by inclusion of some additional bosonic and fermionic operators which are interpreted as the generators of the U(1) gauge symmetry on superspace. The generalized superalgebra closes only for very particular configurations of the gauge connection superfield. This provides a unified framework for a variety of generalizations of the ordinary superalgebra such as its central extension and its noncommutative deformation found in an earlier work.

SINGULARITY-THEORY AND N=2 SUPERSYMMETRY

1991 ◽  
Vol 06 (14) ◽  
pp. 2427-2496 ◽  
Author(s):  
S. CECOTTI ◽  
L. GIRARDELLO ◽  
A. PASQUINUCCI
Keyword(s):  
Explicit Formula ◽  
Morse Theory ◽  
Singularity Theory ◽  
Two Dimensions ◽  
Critical Behaviour ◽  
Coupling Constant ◽  
Perturbative Methods ◽  
Gauge Connection

N=2 supersymmetry in two dimensions can be seen as a quantum realization of the geometry of singularity theory. We show this using non-perturbative methods. N=2 susy is related to the Picard-Lefschetz theory much in the same way as N=1 susy is related to Morse theory. All the concepts of singularity theory fit in the physics of the N=2 Landau-Ginsburg models. The critical behaviour of the theory is encoded in a certain natural “gauge-connection” in coupling-constant space. It is flat for a quashihomogeneous superpotential, but not in general. We find an explicit formula relating it to the Gauss-Manin connection of the singularity associated to the superpotential. Our results are valid for both the quasihomogeneous and the non-quasihomogeneous case, but in the former our equations simplify dramatically. We discuss some preliminary applications.

scholarly journals Physical Quantities of Reissner-Nordström Spacetime with Arbitrary Function and Regularized Procedure

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Gamal G. L. Nashed
Keyword(s):  
Total Energy ◽  
Arbitrary Function ◽  
Continuation Method ◽  
Teleparallel Gravity ◽  
Spherically Symmetric ◽  
Time Coordinate ◽  
First Law Of Thermodynamics ◽  
Relevant Result ◽  
Physical Quantities ◽  
Gauge Connection

We use the covariant teleparallel approach to compute the total energy ofa spherically symmetric frame with an arbitrary function, that is,ℑ(r). We show how the total energy is always effected by the inertia. When use is made of the pure gauge connection, teleparallel gravity always yields the physically relevant result. We also calculate the total conserved charge and show how inertia spoils the physics in the time coordinate direction. Therefore, a regularized expression is employed to get a plausible value of energy. Finally, we use the Euclidean continuation method, in the context of TEGR, to calculate the energy, Hawking temperature, entropy, and first law of thermodynamics.

scholarly journals The Structured Wall-Turbulence, a Galilean Relativistic Phenomenon

2020 ◽  
Vol 12 (2) ◽  
pp. 47-61 ◽  
Author(s):  
Horia DUMITRESCU ◽  
Vladimir CARDOS ◽  
Radu BOGATEANU ◽  
Alexandru DUMITRACHE
Keyword(s):  
Three Dimensional ◽  
Wall Turbulence ◽  
Gaia Hypothesis ◽  
Impact Forces ◽  
Space Time Structure ◽  
The Law ◽  
Galilean Space ◽  
Material Bodies ◽  
The Relationship ◽  
Gauge Connection

The relationship between heavenly bodies and earthly behavior along with its importance took many centuries before the rigor scientific understanding enabled the true influences on Earth, such as its complicated motion and perceived other regularities in the behavior of earthly objects. One of these was the tendency for all things in one vicinity to move in the same downward direction according to the influence that is known as gravity property. Moreover, matter was observed to transform, sometimes, from one form into another, such as with melting of ice or vaporizing/cavitation of water, but the total quantity of that matter never seemed to change, which reflects the law at which we now refer to as the conservation/ integrity of mass, including its latent energy. Much latter it is noticed that planet Earth forms a self-regulating complex system, i.e. the Earth’s surface is alive, that is known as the Gaia hypothesis, reflected in the Newton-Galilei dynamics through the law of equal action and reaction for stress vector and tensor, respectively. In addition, at was noticed that there are many material bodies with the important property that they retain their shapes, excepting the flowing fluids, whence the idea of rigid spatial motion arose, and it becomes possible to understood spatial relationships in terms a precise, well-defined geometry, the Euclidian three-dimensional geometry. Though the heavenly bodies are permanently moving in a self-built on universe like a timeless perpetuum mobile, the time remains an important property for the behaviors/motions of an Earth-bound object due to their relativity as against the diurnal rotation depending on the velocities of the impacted object. In contrast to the constant inertia condition where for small starting velocities and accelerations the Newton’s determinist principle is applied, the onset of a motion of the Earth-bound material bodies, at higher velocities and accelerations (O(g)), involves changes of moving matter/inertia under influence of gravitational field via some intrinsic latent motions/processes. They achieve the kinetic-gravitational mutual energy transfer obeying the Galilei’s law of inertia for self-equilibrating impact forces. The intrinsic motions, at the cellular scale (10-6 m), are responsible for the kinetic trinity of the momentum, kinetic energy and power, and they represent what it is called structured turbulence, i.e. a Galilean space-time structure according to the mathematical idea of a bundle (or fibre bundle) and its gauge connection. The bundle and gauge connection are a kind of Galilean transformation to a system moving with constant velocity carrying its relativistic non-inertial fraction as a blend of structure less turbulence and non-rigorously defined intermittency of a non-inertial motion.

scholarly journals Shape dynamical loop gravity from a conformal Immirzi parameter

2017 ◽  
Vol 26 (11) ◽  
pp. 1750131 ◽  
Author(s):  
Patrick J. Wong
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Three Dimensional ◽  
Classical Level ◽  
Spatial Geometry ◽  
Loop Quantization ◽  
Loop Gravity ◽  
Precise Interpretation ◽  
Gauge Connection ◽  
Area And Volume

The Immirzi parameter of loop quantum gravity is a one-parameter ambiguity of the theory whose precise interpretation is not universally agreed upon. It is an inherent characteristic of the quantum theory as it appears in the spectra of geometric operators, despite being irrelevant at the classical level. The parameter’s appearance in the area and volume spectra to the same power as the Planck area suggest that it plays a role in determining the fundamental length scale of space. In fact, a consistent interpretation is that it represents a constant rescaling of the kinematical spatial geometry. An interesting realization is that promoting the Immirzi parameter to be a general conformal transformation leads to a system which can be identified as analogous to the linking theory of shape dynamics. A three-dimensional gravitational gauge connection is then constructed within the linking theory in a manner analogous to loop quantum gravity, thereby facilitating the application of the established procedure of loop quantization.

scholarly journals CONNECTING GREEN FUNCTIONS IN AN ARBITRARY PAIR OF GAUGES AND AN APPLICATION TO PLANAR GAUGES

2001 ◽  
Vol 16 (31) ◽  
pp. 5043-5059 ◽  
Author(s):  
SATISH D. JOGLEKAR
Keyword(s):  
Green Function ◽  
Finite Field ◽  
Path Integrals ◽  
Green Functions ◽  
Expectation Values ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Field Dependent ◽  
Gauge Connection ◽  
Arbitrary Gauge

We establish a finite field-dependent BRS transformation that connects the Yang–Mills path integrals with the Faddeev–Popov effective actions for an arbitrary pair of gauges F and F'. We establish a result that relates an arbitrary Green function (either a primary one or that of an operator) in an arbitrary gauge F' to those in gauge F that are compatible to the ones in gauge Fby its construction. This is because the construction preserves expectation values of gauge-invariant observables. We establish parallel results also for the planar gauge-Lorentz gauge connection.

Precise tide gauge connection to the island of Helgoland

1994 ◽  
Vol 17 (2) ◽  
pp. 147-152 ◽  
Author(s):  
Hans‐Jürgen Goldan ◽  
Günter Seeber
Keyword(s):  
Tide Gauge ◽  
Gauge Connection
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