共查询到20条相似文献,搜索用时 15 毫秒
1.
《Physics letters. [Part B]》1988,213(3):298-302
The quantum structure of the chiral Schwinger model is studied by fermionization of the Wess-Zumino field. The model contains a hidden parameter a reflecting the ambiguity in the definition of the gauge anomaly. It is shown that, for the special value a = 2, this chiral model is equivalent to massless QED2 in the sence that they share the same gauge field and the same (left-handed) chiral fermion. The fermionic representation of the Wess-Zumino term provides a natural way to summarize the current algebras and yields a regularization-independent current-algebraic characterization of the model. 相似文献
2.
Anisur Rahaman Safia Yasmin Sahazada Aziz 《International Journal of Theoretical Physics》2010,49(10):2607-2620
Chiral Schwinger model with the Faddeevian anomaly is considered. It is found that imposing a chiral constraint this model
can be expressed in terms of chiral boson. The model when expressed in terms of chiral boson remains anomalous and the Gauss
law of which gives anomalous Poisson brackets between itself. In spite of that a systematic BRST quantization is possible.
The Wess-Zumino term corresponding to this theory appears automatically during the process of quantization. A gauge invariant
reformulation of this model is also constructed. Unlike the former one gauge invariance is done here without any extension
of phase space. This gauge invariant version maps onto the vector Schwinger model. The gauge invariant version of the chiral
Schwinger model for a=2 has a massive field with identical mass however gauge invariant version obtained here does not map on to that. 相似文献
3.
《Nuclear Physics B》1997,507(3):645-657
As a result of the Wess-Zumino term in its action, the eleven-dimensional supermembrane realizes the super-Poincaré algebra extended by a Schwinger term containing a two-form charge. A set of “descent equations” are determined which place the relationship between the Wess-Zumino Lagrangian and the Schwinger term on a cohomological footing. 相似文献
4.
A recently proposed version of the chiral Schwinger model is studied in detail in this paper. It is shown that a suitable Pauli-Villars regularization can be devised to reproduce the bosonized form of the effective action that was earlier written down. It is then shown how this anomalous gauge theory can be made gauge invariant by the introduction of a Wess-Zumino field. The equations of motion of this theory are explicitly solved in Lorentz covariant gauges. Finally, the operator solution of the fermionic form of the theory is constructed. 相似文献
5.
Jung Ho Cha Yong Wan Kim Young Jai Park Yongduk Kim Seung Kook Kim Won T. Kim 《Zeitschrift fur Physik C Particles and Fields》1995,69(1):175-181
We quantize the chiral Schwinger model by using the Batalin-Tyutin formalism. We show that one can systematically construct the first-class constraints and the desired involutive Hamiltonian, which naturally generates all secondary constraints. Fora>1, this Hamiltonian gives the gauge invariant Lagrangian including the well-known Wess-Zumino terms, while fora=1 the corresponding Lagrangian has the additional new type of the Wess-Zumino terms, which are irrelevant to the gauge symmetry. 相似文献
6.
A. de Souza Dutra C. P. Natividade 《Zeitschrift fur Physik C Particles and Fields》1995,66(3):517-522
We quantize a generalized version of the Schwinger model, where the two chiral sectors couples with different strengths to theU(1) gauge field. Starting from a theory which includes a generalized Wess-Zumino term, we obtain the equal time commutation relation for physical fields, both the singular and non-singular cases are considered. The photon propagators are also computed in their gauge dependent and invariant versions. 相似文献
7.
We apply perturbation theory to the gauge invariant version of the chiral Schwinger model. The cancellation of anomalies is shown explicitly in terms of Feynman diagrams. We calculate the exact propagators for the gauge field, for the Wess-Zumino field and for the mixing between these fields. Using these propagators, we demonstrate the existence of a massive state. 相似文献
8.
We discuss anomalous d=2 non-Abelian chiral theory with minimal Wess-Zumino-Witten (WZW) action. The Schwinger terms between Gauss-law constraints Ga(x) and Gb(y) can not be canceled by the minimal WZW action. If we define modified Gauss-law constraints Gma(x), the Schwinger terms between the constraints Gma(x) and Gmb(y) disappear, the constraints Gma(x) become the first-class ones. And the total action S(A, U, G) is gaugeinvariant. When we choose the unitary gauge G = 1, the non-Abelian chiral theory with the generalized faddeevian regularization scheme is gained. And the relation between faddeevian and usual regularization can be obtained. 相似文献
9.
Yan-Gang Miao H. J. W. Müller-Kirsten Jian-Ge Zhou 《Zeitschrift fur Physik C Particles and Fields》1996,71(1):525-531
The gauge invariant theories of the generalized chiral Schwinger model are constructed in terms of two schemes with and without Wess-Zumino terms, respectively. Following the former scheme, we calculate the Wess-Zumino term which cancels the gauge anomaly, and then constitute the gauge invariant theory by adding the Wess-Zumino term to the original Lagrangian of the model. According to the latter, we modify the original Hamiltonian by adding a term composed of constraints of the model. It is so designed that the theory described by the modified Hamiltonian and its corresponding first-order Lagrangian maintains gauge invariance. We show by the canonical Dirac method that each of the two gauge invariant theories has the same physical spectrum as that of the original gauge noninvariant formulation. 相似文献
10.
Yan-Gang Miao H. J. W. M��ller-Kirsten Jian-Ge Zhou 《The European Physical Journal C - Particles and Fields》2011,71(1):525-531
The gauge invariant theories of the generalized chiral Schwinger model are constructed in terms of two schemes with and without Wess-Zumino terms, respectively. Following the former scheme, we calculate the Wess-Zumino term which cancels the gauge anomaly, and then constitute the gauge invariant theory by adding the Wess-Zumino term to the original Lagrangian of the model. According to the latter, we modify the original Hamiltonian by adding a term composed of constraints of the model. It is so designed that the theory described by the modified Hamiltonian and its corresponding first-order Lagrangian maintains gauge invariance. We show by the canonical Dirac method that each of the two gauge invariant theories has the same physical spectrum as that of the original gauge noninvariant formulation. 相似文献
11.
Yan-Gang Miao Jian-Ge Zhou Yao-Yang Liu 《Zeitschrift fur Physik C Particles and Fields》1994,61(2):317-322
We apply the Batalin-Fradkin algorithm combined with the Batalin-Fradkin-Vilkovisky formalism to the generalized Schwinger model. We obtain the Becchi-Rouet-Stora-Tyutin invariant action showing that the auxiliary fields introduced in the algorithm turn into the Wess-Zumino scalar. 相似文献
12.
We present a concept of the gauge transformations, establish the homomorphic relation between this conomology group and the Chern-Simons type. charaateric class sequence,and analyse their applacatons to the non-Abelian anomaly, the gauge invariant Wess-Zumino effective action and the Schwinger term etc.we show that the present approaches.includes faddeev's song's and zumino'sapproaches. 相似文献
13.
14.
《Physics letters. [Part B]》1987,194(3):415-419
We deal with chiral G×G field theory with Wess-Zumino term (or the Skyrme model) specified in terms of its Goldstone fields. Working in four dimensions we derive the current of the Noether currents of the theory in the canonical formalism displaying its anomalous structure. 相似文献
15.
《Physics letters. A》1987,123(1):27-30
It is shown that the effective action in 3He-A contains the Wess-Zumino topological action, from which the orbital dynamics is naturally obtained. The obtained spontaneous orbital momentum of liquid coincides fully with the one predicted by phenomenology. The connection with the chiral anomaly in quantum electrodynamics is considered. 相似文献
16.
Edward Witten 《Nuclear Physics B》1983,223(2):422-432
A new mathematical framework for the Wess-Zumino chiral effective action is described. It is shown that this action obeys an a priori quantization law, analogous to Dirac's quantization of magnetic change. It incorporates in current algebra both perturbative and non-perturbative anomalies. 相似文献
17.
Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the bosonized chiral Schwinger model, the generalized chiral Schwinger model (GCSM) and its gauge invariant formulation. We establish the Lagrangian theories of the models, and then derive the Hamilton's equations in accordance with the Dirac's method and solve the equations of motion, and further analyze the self-duality of the Lagrangian theories in terms of the parent action approach. 相似文献
18.
Taking Wilson fermion formulation for the chiral gauge theory we derive the Wess-Zumino effective action in a lattice version in both two and four dimensions. Also the relationship between the anomalous generation and the chiral symmetry breaking is presented. Our results in continuum limit are coincident with those obtained by other regularizations. 相似文献
19.
C. P. Natividade A. de Souza Dutra 《Zeitschrift fur Physik C Particles and Fields》1997,75(3):575-578
We derive the Wess-Zumino scalar term of the generalized Schwinger model both in the singular and nonsingular cases by using BRST-BFV framework. The photon propagators are also computed in the extended Lorentz gauge. 相似文献
20.
L. D. Faddeev 《Communications in Mathematical Physics》1990,132(1):131-138
The connection between the exchange algebra in theSU(2) Wess-Zumino Novikov-Witten model and the quantum groupSU(2) is discussed. It is shown that on the quasiclassical level this connection has the simple interpretation in terms of the Lie-Poisson action ofSU(2) on the chiral components of the fields in the WZNW model.Dedicated to Res Jost and Arthur Wightman 相似文献