Hamiltonian Formulation of the Schwinger Model
نویسندگان
چکیده
منابع مشابه
Quantum Hamiltonian reduction of the Schwinger model.
We reexamine a unitary-transformation method of extracting a physical Hamiltonian from a gauge eld theory after quantizing all degrees of freedom including redundant variables. We show that this quantum Hamiltonian reduction method su ers from crucial modi cations arising from regularization of composite operators. We assess the e ects of regularization in the simplest gauge eld theory, the Sch...
متن کاملHamiltonian Formulation of the Schwinger Model - - Non - Confinement and Screening of the Charge
Schwinger model is quantum electro-dynamics (QED) in 2 dimensions with· massless Dirac fermion. I ) Though being non-trivial, it was solved and has' been known to be equivalent to a massive scalar boson with mass e/ Ii, where e is the coupling constant.) To get its deeper understanding it is important to know the explicit structure of the Hilbert space in the Hamiltonian formalism. Manton 3) st...
متن کاملEnsemble projector Monte Carlo method, studying the lattice Schwinger model in the Hamiltonian formulation.
The ensemble projector Monte Carlo method is a promising method to study lattice gauge theories with fermions in the Hamiltonian formulation. We study the massive Schwinger model and show, that consistent results are obtained in the presence of positive and negative matrix elements. The expectation values for the average energy calculated from matrix elements with negative and positive scores, ...
متن کاملExpansions for the Massive Schwinger Model in Hamiltonian lattice theory
It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues are calculated, and extrapolated to the continuum limit by means of integrated differential approximants, which are matched onto a weak-coupling expansion. Th...
متن کاملGauge Invariant Formulation and Bosonisation of the Schwinger Model
The functional integral of the massless Schwinger model in (1 + 1) dimensions is reduced to an integral in terms of local gauge invariant quantities. It turns out that this approach leads to a natural bosonisation scheme, yielding, in particular the famous “bosonisation rule” and giving some deeper insight into the nature of the bosonisation phenomenon. As an application, the chiral anomaly is ...
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: Progress of Theoretical Physics
سال: 1990
ISSN: 0033-068X
DOI: 10.1143/ptp.84.142