共查询到20条相似文献,搜索用时 15 毫秒
1.
2.
The Ward construction is generalized to non-self-dual gauge fields. Reality and currentless conditions are specified. 相似文献
3.
4.
A. S. Schwarz 《Communications in Mathematical Physics》1977,56(1):79-86
The subgroups of the symmetry group of the gauge invariant Lagrangian are studied. For given subgroupG theG-invariant gauge fields are listed. 相似文献
5.
M. Lüscher 《Communications in Mathematical Physics》1982,85(1):39-48
Non-Abelian gauge fields on a four-dimensional hypercubic lattice with small action density [Tr{U(
)} for SU(2) gauge fields] are shown to carry an integer topological chargeQ, which is invariant under continuous deformations of the field. A concrete expression forQ is given and it is verified thatQ reduces to the familiar Chern number in the classical continuum limit.Work supported in part by Schweizerischer Nationalfonds 相似文献
6.
A. Trautman 《Czechoslovak Journal of Physics》1979,29(1):107-116
Principal fibre bundles with connections provide geometrical models of gauge theories. Bundles allow for a global formulation of gauge theories: the potentials used in physics are pull-backs, by means of local sections, of the connection form defined on the total spaceP of the bundle. Given a representationP of the structure (gauge) groupG in a vector spaceV, one defines a (generalized) Higgs field as a map fromP toV, equivariant under the action ofG inP. If the image of is an orbitW V ofG, then a breaks (spontaneously) the symmetry: the isotropy (little) group ofw
0 W is the unbroken groupH. The principal bundleP is then reduced to a subbundleQ with structure groupH. Gravitation corresponds to a linear connection, i.e. to a connection on the bundle of frames. This bundle has more structure than an abstract principal bundle: it is soldered to the base. Soldering results in the occurrence of torsion. The metric tensor is a Higgs field breaking the symmetry fromGL (4,R) to the Lorentz group.Invited talk at the Symposium on Mathematical Methods in the Theory of Elementary Particles, Liblice castle, Czechoslovakia, June 18–23, 1978.Work on this paper was supported in part by the Polish Research Programme MR. I. 7.This paper is based in part on the research done in 1976–77 when I was Visiting Professor at the State University of New York at Stony Brook. I thankChen Ning Yang for encouragement, discussions and hospitality at the Institute for Theoretical Physics, SUSB. I have also learned much from conversations with D. Z.Freedman, A. S.Goldhaber, P.van Nieuwenhuizen, J.Smith, P. K.Townsend, W. I.Weisberger, and D.Wilkinson. 相似文献
7.
8.
J. T. Anderson 《International Journal of Theoretical Physics》1986,25(9):959-971
The analytic structure of gauge fields in the presence of fermions is studied in arbitrary symmetry. A Hamiltonian formalism is developed which relates Cauchy-Riemann equations to the symmetry. The formalism is applied to three problems in (2+1)-dimensional Euclidean space: (1) a free fermion, (2) a fermion interacting with a massless scalar field, and (3) a fermion interacting with a vector field. We find that the Hamiltonian for the free fermion is analytic and single-valued in a finite region of momentum space. With the addition of an auxiliary field, the Hamiltonian can be analytic in the entire momentum space. The scalar field then acquires spin-dependent coordinates by interaction with the fermion; the interactions break the Abelian symmetry of so that
1 1/(x1 –-im
1
–1
(x1 –-im
1
–1
), wherem
1 are spin-dependent and multivalued. There are four solutions for each chirality eigenvalue of the fermion. For spinless fermions gives the Jackiw-Nohl-Rebbi solution and is separable into Coulomb-like 1/x analytic functions on the first and fourth quadrants. For a vector field the results are similar except that the coordinates are not spindependent or multivalued; interactions break the initial symmetry andA
(x
)A
1
(x
) and theA
1
have a non-Abelian algebra. Thel indices represent directions fixed by spin matrices in a spin-dependent color space. 相似文献
9.
The static potential between a fermion and an anti-fermion in a group singlet state is calculated, through two loops, in the radiation gauge first order formalism. The results of this calculation imply that the Coulomb propagator is not sufficient to determine the static potential: a new function of the coupling constant αs(?t) is also required. 相似文献
10.
Density perturbations are considered during the radiation-dominated and the dust-dominated periods of the expanding universe. The perturbations are taken to have spherical symmetry and the investigation is carried out in the de Donder gauge. In order to guarantee the energy-momentum conservation of the perturbation in the de Donder gauge a compatibility condition is obtained. Equations for the propagation of a spherically symmetric perturbation in linear approximation on a FRW cosmological background are presented. It turns out that the evolutiontendency of the formation is mainly predicted by the state of the cosmic background. A radiation-dominated universe does not stimulate growth processes; the perturbation will be in a frozen state or it will diffuse. It is found that the dust-dominated universe stimulates the perturbation mass to grow. The rate of this cosmic affected growing process is proportional toR
–1 (R being the scale factor of the universe), so that it seems that almost all galaxies were formed at the beginning of the present dust-dominated era. 相似文献
11.
《Nuclear Physics B》2001,606(3):636-646
In this paper the linear representations of analytic Moufang loops are investigated. We prove that every representation of semisimple analytic Moufang loop is completely reducible and find all nonassociative irreducible representations. We show that such representations are closely associated with the (anti-)self-dual Yang–Mills equations in R8. 相似文献
12.
David E. Lerner 《Communications in Mathematical Physics》1990,132(3):537-547
For a particular class of patching matrices onP 3(?), including those for the complex instanton bundles with structure group Sp(k,?) orO(2k,?), we show that the associated Riemann-Hilbert problemG(x, λ)=G?(x, λ)·G + ?1 (x, λ) can be generically solved in the factored formG ?=φ 1 φ 2.....φ n . IfГ=Г n is the potential generated in the usual way fromG ?, and we setψ i =φ 1.....,φ i withψ n =G ?, then eachψ i also generates a selfdual gauge potentialΓ i . The potentials are connected via the “dressing transformations” $$\Gamma _\iota = \phi _i^{ - 1} \cdot \Gamma _{\iota - 1} \cdot \phi _i + \phi _i ^{ - 1} D\phi _i$$ of Zakharov-Shabat. The factorization is not unique; it depends on the (arbitrary) ordering of the poles of the patching matrix. 相似文献
13.
Gerlach and Sengupta derived a master equation for arbitrary odd-parity gravitational perturbations of spherically symmetrical space-times. In this paper we show that for radiative purely gravitational perturbations of Robertson-Walker space-times the same equation governs the evenparity perturbations as well. 相似文献
14.
《Physics letters. [Part B]》1987,186(2):189-194
We show that several classes of free field theories with local gauge invariance (e.g. the Yang-Mills, Einstein and p-forms linearized actions) can be constructed from classical actions for a finite number of points by applying the BRST quantization initiated by Siegel. We briefly outline the generalization of this construction for strings. 相似文献
15.
《Physics letters. A》1987,120(4):174-178
We investigate the implication of the week equivalence principles and Eötvös-Dicke experiments for gauge fields in a general framework. In particular, we show that the Galileo weak equivalence principle (WEP[I]) implies the Einstein equivalence principle (EEP) with one exception; however, the second weak equivalence statement (WEP[II]) implies EEP. For the exceptional case, there are anomalous torques on polarized test bodies. As an example, we apply our results to quantum chromodynamics. 相似文献
16.
Peter Woit 《Nuclear Physics B》1985,262(2):284-298
A general discussion of the topology of continuum gauge fields and the problems involved in defining and computing the topology of a lattice gauge field configuration is given. Two definitions of the topological charge for 4-dimensional SU(n) lattice gauge theory are presented. The first of these is geometrically the most straightforward, the second the most useful for efficient numerical calculations. 相似文献
17.
We study the gauge invariant cosmological perturbations up to the second order.We demonstrate that there are infinite families of gauge invariant variables at b... 相似文献
18.
Questions associated with the determination of the charge conjugation in non-Abelian gauge fields are investigated. It is shown that the properties of gauge groups allow the charge conjugation to be simply determined.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 62–64, April, 1982. 相似文献
19.
S. E. Samokhvalov 《Russian Physics Journal》1988,31(12):978-981
For an arbitrary external gauge field we construct an infinite group which contains all the information about the given field and describes some of its properties. We construct a field representation of the group . We show that covariant derivatives become translation generators in such a representation of the group . This allows us to interpret transformations from the group as motions in an external gauge field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 31–35, December, 1988. 相似文献
20.
The black-body radiation is considered in a theory with noncommutative electromagnetic fields; that is noncommutativity is introduced in field space, rather than in real space. A direct implication of the result on cosmic microwave background map is argued. 相似文献