Axial anomaly and index theorem for a two-dimensional disc with boundary

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Index and Axial Anomaly of a Lattice Dirac Operator

A remarkable feature of a lattice Dirac operator is discussed. Unlike the Dirac operator for massless fermions in the continuum, this Ginsparg-Wilson lattice Dirac operator does not possess topological zero modes for any topologically-nontrivial background gauge fields, even though it is exponentially-local, doublers-free, and reproduces correct axial anomaly for topologically-trivial gauge con...

متن کامل

An index theorem for Toeplitz operators on odd-dimensional manifolds with boundary

We establish an index theorem for Toeplitz operators on odd-dimensional spin manifolds with boundary. It may be thought of as an odd-dimensional analogue of the Atiyah–Patodi–Singer index theorem for Dirac operators on manifolds with boundary. In particular, there occurs naturally an invariant of η type associated to K1 representatives on even-dimensional manifolds, which should be of independe...

متن کامل

An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary

For a family of Dirac operators acting on Hermitian Cli ord modules over the odd dimensional compact manifolds with boundary which are the bres of a bration with compact base we compute the Chern character of the index in K of the base Although we assume a product decomposition near the boundary we make no assumptions on invertibility of the bound ary family and instead obtain a family of self ...

متن کامل

Anomaly Cancellation in Seven-Dimensional Supergravity with a Boundary

We construct a seven-dimensional brane world in a slice of AdS7, where the boundary matter content is fixed by the cancellation of anomalies. The seven-dimensional minimal N = 2 gauged supergravity is compactified on the orbifold S/Z2, and the supersymmetric bulk-boundary Lagrangian is consistently derived for boundary vector and hypermultipets up to fermionic bilinear terms. Anomaly cancellati...

متن کامل

Chiral Anomaly and Index Theorem on a finite lattice

The condition for a lattice Dirac operator D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition for D to have correct fermion determinant ( ratio ) which plays the important role of incorporating dynamical fermions in the func...

متن کامل

ذخیره 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 of Physics A: Mathematical and General

سال: 1986

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/19/6/004