Symmetry and strong interaction
Connection between internal and space-time symmetries in high energy interactions - theoretical physics
SPACE-TIME FUNCTION↗
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Remarks about massive and massless particles in supersymmetry
The internal space-time symmetry and simple supersymmetry of relativistic particles are briefly discussed in terms of the little group of the Poincare group. The little group generators in a finite-dimensional matrix representation of the N = 1 super-Poincare algebra are explicitly constructed. The supergeometry of a massive case continuously becomes that of a massless case in the infinite-momentum limit. The origin of the gage transformations associated with the massless supermultiplets becomes transparent in that limit.
Ketov, S. V.↗
Local time displacement as a symmetry of nature in flat space-time
Local time displacement is shown to be a true symmetry of Minkowskian physics, thereby demonstrating the empirical equivalence of different choices of the clock synchronization parameter in generalized Lorentz transformations.
Meador, Willard E.↗
Geometrical Origin of Internal Symmetries
Group-theoretical method for internal symmetries of elementary particles from space-time geometry determination
GROUP THEORY↗
On thick domain walls in general relativity
Planar scalar field configurations in general relativity differ considerably from those in flat space. It is shown that static domain walls of finite thickness in curved space-time do not possess a reflection symmetry. At infinity, the space-time tends to the Taub vacuum on one side of the wall and to the Minkowski vacuum (Rindler space-time) on the other. Massive test particles are always accelerated towards the Minkowski side, i.e., domain walls are attractive on the Taub side, but repulsive on the Minkowski side (Taub-vacuum cleaner). It is also proved that the pressure in all directions is always negative. Finally, a brief comment is made concerning the possibility of infinite, i.e., bigger than horizon size, domain walls in our universe. All of the results are independent of the form of the potential V(phi) greater than or equal to 0 of the scalar field phi.
Goetz, Guenter↗
Particle symmetries
Theory of fundamental particle symmetries derived from basic properties of space-time using principles of quantum mechanics and special relativity
RELATIVITY↗
Wilson-loop instantons
Wilson-loop symmetry breaking is considered on a space-time of the form M4 x K, where M4 is a four-dimensional space-time and K is an internal space with nontrivial and finite fundamental group. It is shown in a simple model that the different vacua obtained by breaking a non-Abelian gauge group by Wilson loops are separated in the space of gauge potentials by a finite energy barrier. An interpolating gauge configuration is then constructed between these vacua and shown to have minimum energy. Finally some implications of this construction are discussed.
Lee, Kimyeong↗
Cosmic matter-antimatter asymmetry and gravitational force
Cosmic matter-antimatter asymmetry due to the gravitational interaction alone is discussed, considering the gravitational coupling of fermion matter related to the Yang-Mills (1954) gauge symmetry with the unique generalization of the four-dimensional Poincare group. Attention is given to the case of weak static fields which determines the space-time metric where only large source terms are retained. In addition, considering lowest-order Feynman diagrams, there are presented gravitational potential energies between fermions, between antifermions, and between a fermion and an antifermion. It is concluded that the gravitational force between matter is different from that between antimatter; implications from this concerning the evolution of the universe are discussed.
Hsu, J. P.↗
[Probing Planck-scale Physics with a Ne-21/He-3 Zeeman Maser]
The Ne-21/He-3 Zeeman maser is a recently developed device which employs co-located ensembles of Ne-21 and He-3 atoms to provide sensitive differential measurements of the noble gas nuclear Zeeman splittings as a function of time, thereby greatly attenuating common-mode systematic effects such as uniform magnetic field variations. The Ne-21 maser will serve as a precision magnetometer to stabilize the system's static magnetic field, while the He-3 maser is used as a sensitive probe for violations of CPT and Lorentz symmetry by searching for small variations in the 3He maser frequency as the spatial orientation of the apparatus changes due to the rotation of the Earth (or placement on a rotating table). In the context of a general extension of the Standard Model of particle physics, the Ne-21/He-3 maser will provide the most sensitive search to date for CPT and Lorentz violation of the neutron: better than 10(exp -32) GeV, an improvement of more than an order of magnitude over past experiments. This exceptional precision will offer a rare opportunity to probe physics at the Planck scale. A future space-based Ne-21/He-3 maser or related device could provide even greater sensitivity to violations of CPT and Lorentz symmetry, and hence to Planck-scale physics, because of isolation from dominant systematic effects associated with ground-based operation, and because of access to different positions in space-time.
Source record↗
Implications of general covariance and maximum four-dimensional Yang-Mills gauge symmetry
General covariance and maximum four-dimensional Yang-Mills gauge symmetry lead to these results: (1) gravity is characterized by a dimensionless constant F of the order of 10 to the -19th; (2) the Newtonian force is always attractive; (3) space-time has a torsion; and (4) gravitational spin-force between two protons is about 10 to the 19th times stronger than the corresponding Newtonian force. A possible experimental test is discussed.
Hsu, J. P.↗
Gravitational field equations for sources with axial symmetry and angular momentum.
Parametrization of reduced problem of stationary axially symmetric gravity fields
ANGULAR MOMENTUM↗
Stochastic estimation of coherent structures in turbulent boundary layers
The stochastic estimation technique is described as well as its extension to two-point and space-time conditional estimates. Based on the experimental data of Guezennec (1985), a comparison is made between the stochastic estimates and the conventional ensemble averaging results. As only the normal velocity and streamwise components were measured at each point on the sampling grid, the assumption of statistical symmetry in the spanwise direction about the centerline was used and the spanwise velocity component was reconstructed by integrating the continuity equation from the centerline outward.
Guezennec, Y. G.↗
Canonical fluid thermodynamics
The space-time integral of the thermodynamic pressure plays in a certain sense the role of the thermodynamic potential for compressible adiabatic flow. The stability criterion can be converted into a variational minimum principle by requiring the molar free-enthalpy and temperature to be generalized velocities. In the fluid context, the definition of proper-time differentiation involves the fluid velocity expressed in terms of three particle identity parameters. The pressure function is then converted into a functional which is the Lagrangian density of the variational principle. Being also a minimum principle, the variational principle provides a means for comparing the relative stability of different flows. For boundary conditions with a high degree of symmetry, as in the case of a uniformly expanding spherical gas box, the most stable flow is a rectilinear flow for which the world-trajectory of each particle is a straight line. Since the behavior of the interior of a freely expanding cosmic cloud may be expected to be similar to that of the fluid in the spherical box of gas, this suggests that the cosmic principle is a consequence of the laws of thermodynamics, rather than just an ad hoc postulate.
Schmid, L. A.↗
Stratospheric circulation in the southern summer/northern winter 1980-81 - Behavior of zonal waves 1-10
Daily global grids of high quality, satellite-borne microwave measurements have been used to study the behavior of stratospheric waves during November 1980-March 1981. The primary motivation was to investigate, by comparing with earlier analyses, the interannual variation of recently reported medium-scale wave domination of Southern Hemisphere (SH) summer circulation. Zonal means, as well as time-mean and transient zonal waves 1-10, are studied. In addition, space-time spectra are determined from the 138-day record. Prominent medium-scale features are found to occur in 1980-81, although wave 4 is strongest, in contrast to the Global Weather Experiment period (1978-79), when wave 5 dominated the SH summer circulation. The same highly continuous, regular eastward phase movement of SH medium-scale waves is found in 1980-81 as in 1978-79. A second noteworthy observation is that of strong, time-mean waves 3-4 with symmetry about the equator, with positive temperature perturbations over the western Pacific and Atlantic equatorial regions, and negative anomalies over South America, Africa, and Indonesia. Confidence in the SH spectral results is enhanced by good agreement between our Northern Hemisphere (NH) medium-scale analyses and recent geopotential height studies by other investigators. These results serve to bring into sharper focus the question of why, in contrast with the more wellknown NH, the SH circulation evidences such robust and highly continuous medium-scale eddies in summer.
Yu, W.-B.↗