82,139 research outputs found
Higher Spin Gravity Amplitudes From Zero-form Charges
We examine zero-form charges in Vasiliev's four-dimensional bosonic higher
spin gravities. These are classical observables given by integrals over
noncommutative twistor space of adjoint combinations of the zero-form master
fields, including insertions of delta functions in the deformed oscillators
serving as gauge invariant regulators. The regularized charges admit
perturbative expansions in terms of multi-linear functionals in the Weyl
zero-form, which are Bose symmetric and higher spin invariant by construction,
and that can be interpreted as basic building blocks for higher spin gravity
amplitudes. We compute two- and three-point functions by attaching external
legs given by unfolded bulk-to-boundary propagators, and identify the result
with the two- and three-current correlation functions in theories of free
conformal scalars and fermions in three dimensions. Modulo assumptions on the
structure of the sub-leading corrections, and relying on the generalized
Hamiltonian off-shell formulation, we are thus led to propose an expression for
the free energy as a sum of suitably normalized zero-form chargesComment: V2: Typos corrected, references added, footnote and note added,
discussion section improve
Two Electrons in a Quantum Dot: A Unified Approach
Low-lying energy levels of two interacting electrons confined in a
two-dimensional parabolic quantum dot in the presence of an external magnetic
field have been revised within the frame of a novel model. The present
formalism, which gives closed algebraic solutions for the specific values of
magnetic field and spatial confinement length, enables us to see explicitly
individual effects of the electron correlation.Comment: 14 page
The Luttinger model: its role in the RG-theory of one dimensional many body Fermi systems
The Luttinger model was introduced to illustrate the theory of Tomonaga via
an exactly soluble model. It became soon the subject of great interest also on
the part of Mathematical Physics and a key to the investigations of the
mathematical properties of Condensed Matter Physics. This paper reviews aspects
of the above developments relevant for renormalization group methods.Comment: Plain Te
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