The Wess-Zumino term for a harmonic map
نویسندگان
چکیده
منابع مشابه
The Wess-Zumino term for a harmonic map
We calculate the Wess-Zumino term Γ(g) for a harmonic map g : Σ → G of a closed surface to a compact, simply connected, simple Lie group in terms of the energy and the holonomy of the Chern-Simons line bundle on the moduli space of flat G-connections. In the case Σ = S2 we deduce that Γ(g) is 0 or π and for Σ = T 2 and G = SU(2) we give a formula involving hyperelliptic integrals.
متن کاملWess-Zumino-Witten term on the lattice
We construct the Wess-Zumino-Witten (WZW) term in lattice gauge theory by using a Dirac operator which obeys the Ginsparg-Wilson relation. Topological properties of the WZW term known in the continuum are reproduced on the lattice as a consequence of a non-trivial topological structure of the space of admissible lattice gauge fields. In the course of this analysis, we observe that the gauge ano...
متن کاملWess-Zumino term by Vacuum Overlap Formula
We examine the vacuum overlap formula for the two-dimensional SU(2) WessZumino term in lattice regularization. Perturbatively it reproduces the Wess-Zumino term correctly in the continuum limit and yields the IR fixed point in the beta function of the chiral model. Nonperturbatively it shows a sharp Gaussian distribution for the SU(2) chiral field configurations in the scaling region, where smo...
متن کاملWess-Zumino Term in Tachyon Effective Action
We show that the source of RR field computed from the boundary state describing the decay of a non-BPS brane is reproduced by a particular form of the Wess-Zumino term in the tachyon effective action. We also obtain a simple expression of the S-charge associated
متن کاملOn the Wess–Zumino term in high energy QCD
Recently, Kovner and Lublinsky proposed new small–x QCD evolution equations valid when the gluon density inside the target is low. The key element of their construction is the Wess–Zumino term which ensures the non-commutativity of valence charges. In this paper we clarify the origin and significance of this term by showing that it can be naturally incorporated in the effective theory of Color ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2002
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2002.018