共查询到20条相似文献,搜索用时 15 毫秒
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Our investigations of conformal invariance are based on the theory of analytic representations of the conformal group and its universal covering group. With its help the action of the conformal group on free massless fields, Greenberg fields, Wick products of these fields, and the Thirring fields is studied. In this context we find an infinite set of new operator solutions for the Thirring model that are all equivalent to each other. Explicit constructions of the nonlocal special conformal transformations of all these fields are given. 相似文献
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M. Chaichian A. Kobakhidze A. Tureanu 《The European Physical Journal C - Particles and Fields》2006,47(1):241-245
We propose a mechanism for the spontaneous (gauge-invariant) reduction of noncommutative
gauge theories down to SU(n). This can be achieved through the condensation of composite
gauge invariant fields that involve half-infinite Wilson lines in the trace-U(1) noninvariant and SU(n) preserving direction.
Based on this mechanism, we discuss an anomaly-free fully gauge invariant noncommutative standard model based on the minimal
gauge group
, previously proposed, and show how it can be consistently reduced to the standard model with the usual particle spectrum.
Charge quantization for quarks and leptons naturally follows from the model. 相似文献
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The relation of the conformal group to various earlier proposed relativistic quantum mechanical dynamical groups (and other related groups) is studied in the framework of projective geometry, by explicitly constructing the contractions of the six-dimensional coordinate transformations. Five-dimensional realizations are then derived. An attempt is made to improve our physical insight through geometry. 相似文献
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Sheikh-Jabbari MM 《Physical review letters》2000,84(23):5265-5268
In this paper we study the invariance of the noncommutative gauge theories under C, P, and T transformations. For the noncommutative space (when only the spatial part of straight theta is nonzero) we show that noncommutative QED (NCQED) is parity invariant. In addition, we show that under charge conjugation the theory on noncommutative R(4)(straight theta) is transformed to the theory on R(4)(-straight theta), so NCQED is a CP violating theory. The theory remains invariant under time reversal if, together with proper changes in fields, we also change straight theta by -straight theta. Hence altogether NCQED is CPT invariant. Moreover, we show that the CPT invariance holds for general noncommutative space-time. 相似文献
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K. J. Le Couteur 《Czechoslovak Journal of Physics》1982,32(4):403-407
Linear relativistic wave equations are discussed with consideration of the adjoint wave function and its effect on the equations of motion and charge-current 4-vector.Invited talk presented at the International Symposium Selected Topics in Quantum Field Theory and Mathematical Physics, Bechyn, Czechoslovakia, June 14–19, 1981. 相似文献
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André Lichnerowicz 《Letters in Mathematical Physics》1981,5(2):117-126
It is now well-known [1] that the twisted product on the functions defined on a symplectic manifold, play a fundamental role in an invariant approach of quantum mechanics. We prove here a general existence theorem of such twisted products. If a Lie group G acts by symplectomorphisms on a symplectic manifold and if there is a G-invariant symplectic connection, the manifold admits G-invariant Vey twisted products. In particular, if a homogeneous space G/H admits an invariant linear connection, T
*(G/H) admits a G-invariant Vey twisted product. For the connected Lie group G, the group T
*G admits a symplectic structure, a symplectic connection and a Vey twisted product which are bi-invariant under G. 相似文献
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The gauge symmetry of the Ginzburg–Landau theory for two-gap superconductors is analyzed in this letter. We argue that the existence of two different phases, associated with the two independent scalar Higgs fields, explicitly breaks the gauge symmetry of the Ginzburg–Landau Hamiltonian, unless a new additional vector field is included. Furthermore, the interference term, or Josephson coupling, holding a direct dependence with the phase difference, also explicitly breaks down the gauge symmetry. We show that a solution for the problem is achieved by adding an additional kinetic coupling term between the two vector fields, which generates the desired terms through a spontaneous symmetry breaking mechanism. Finally, the electrodynamics of the system is also presented in terms of the supercurrents inside the superconducting region. 相似文献
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David J Toms 《Annals of Physics》1980,129(2):334-357
Interacting twisted and untwisted scalar fields are studied in a non-Minkowskian space-time with the topology S1 × R3. Renormalization of the theory is discussed, and the oneloop effective potential is calculated and used to discuss symmetry breaking and mass generation as a consequence of the non-trivial topology. It is found that an interaction between the twisted and untwisted fields can lead to symmetry breaking. 相似文献
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The Lie symmetry and the Mei symmetry of a rotational relativistic system in phase space are studied. The definition, criterion and conserved quantity of the Lie symmetry and the Mei symmetry of a rotational relativistic system in phase space are given. The relation between the Lie symmetry and the Mei symmetry is found. An example is given to illustrate the application of the result. 相似文献
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《Nuclear Physics B》1986,274(1):121-138
This paper completes a systematic study of the renormalization of scale invariant models with spontaneous symmetry breakdown discussing an effective scheme for the construction of Feynman amplitudes. From a general point of view the original scale invariance of the models is accounted for by constraining the dilation anomalies with a minimality criterion analyzed in a previous paper. This criterion is basd on a local Ward identity where the anomalies appear oupled to a spurion field. Here the general framework is adapted to a dimensional renormalization scheme and it is shown to be equivalent to a scale invariant choice of all counterterms and as it happens in minimal schemes, to the mass independence of the renormalization constants, thereby allowing a derivation of a renormalization group equation with standard (mass independent) coefficients. The whole analysis refers as an example to the simplest bosonic model containing all the features common to scale invariant theories with spontaneous symmetry breakdown. 相似文献
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给出转动相对论系统的Appell方程,讨论相对论力学的四个新型基本动力学函数 在无限小群变换下研究转动相对论系统Appell方程的形式不变性,给出定义和判据 研究形式不变性与Noether对称性与Lie对称性的关系,寻求转动相对论系统的守恒量
关键词:
转动相对论 Appell方程 形式不变性 对称性与守恒量 相似文献
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T. Temesvári I. Kondor C. De Dominicis 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,18(3):493-500
The reparametrization transformation between ultrametrically organised states of replicated disordered systems is explicitly
defined. The invariance of the longitudinal free energy under this transformation, i.e. reparametrization invariance, is shown to be a direct consequence of the higher level symmetry of replica equivalence. The
double limit of infinite step replica symmetry breaking and is needed to derive this continuous gauge-like symmetry from the discrete permutation invariance of the n replicas. Goldstone's theorem and Ward identities can be deduced from the disappearance of the second (and higher order)
variation of the longitudinal free energy. We recall also how these and other exact statements follow from permutation symmetry
after introducing the concept of “infinitesimal" permutations.
Received 21 July 2000 相似文献
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以Gibbons-Maeda dilaton黑洞和Garfinkle-Horowitz-Strominger dilaton黑洞为例,研究空间的非对易性对黑洞热力学性质的影响.通过对比对易时空中Gibbons-Maeda dilaton黑洞和非对易时空中Garfinkle-Horowitz-Strominger dilaton黑洞的温度,得出如下结论:从对黑洞热力学性质产生影响这一角度来说,时空的非对易性和黑洞的荷(电荷或磁荷)有相似的作用. 相似文献
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Conformal invariance and Noether symmetry, Lie symmetry of holonomic mechanical systems in event space 下载免费PDF全文
This paper is devoted to studying the conformal invariance
and Noether symmetry and Lie symmetry of a holonomic mechanical
system in event space. The definition of the conformal invariance
and the corresponding conformal factors of the holonomic system in
event space are given. By investigating the relation between the
conformal invariance and the Noether symmetry and the Lie symmetry,
expressions of conformal factors of the system under these
circumstances are obtained, and the Noether conserved quantity and
the Hojman conserved quantity directly derived from the conformal
invariance are given. Two examples are given to illustrate the
application of the results. 相似文献
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利用d’AlembertLagrange原理的Chaplygin形式在无限小变换下的变形形式得到Chaplygin系统的广义Noether等式和守恒量的形式.研究Chaplygin系统的形式不变性以及它与Noether对称性的关系.
关键词:
Chaplygin系统
Noether对称性
形式不变性
守恒量 相似文献