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R. Jackiw

Publications and source records attributed to R. Jackiw.

At least 37 records · Page 2Linked to original sources
arXiv2007

Chiral Gauge Theory for Graphene

We construct a chiral gauge theory to describe fractionalization of fermions in graphene. Thereby we extend a recently proposed model, which relies on vortex formation. Our chiral gauge fields provide dynamics for the vortices and also couple to the fermions.

cond-mat.str-el↗
arXiv2006

Kaluza-Klein reduction of conformally flat spaces

Kaluza-Klein reduction of conformally flat spaces is considered for arbitrary dimensions. The corresponding equations are particularly elegant for the reduction from four to three dimensions. Assuming circular symmetry leads to explicit solutions which also arise from specific two-dimensional dilaton gravity actions.

math-ph↗
arXiv2005

Topological Mass Generation in Four Dimensions

Schwinger's mechanism for mass generation relies on topological structures of a 2-dimensional gauge theory. In the same manner, corresponding 4-dimensional topological entities give rise to topological mass generation in four dimensions.

hep-th↗
arXiv2005

Weyl Symmetry and the Liouville Theory

Flat-space conformal invariance and curved-space Weyl invariance are simply related in dimensions greater than two. In two dimensions the Liouville theory presents an exceptional situation, which we here examine.

hep-th↗
arXiv2005

Remembering Sergio Fubini

The author recollects Sergio Fubini's impact on field theory (radial quantization, merons, conformal quantum mechanics) and on MIT.

physics.hist-ph↗
arXiv2005

Topology in Physics

The phenomenon of quantum number fractionalization is explained. The relevance of non-trivial phonon field topology is emphasized.

math-ph↗
arXiv2005

Quantum Relaxation of the Cosmological Constant

We describe a mechanism that drives the Cosmological Constant to zero value. This mechanism is based on the quantum triviality of $λϕ^4$ field theory and works in $AdS$ space. Some subtleties of the model are discussed.

hep-th↗
arXiv2005

Topological Aspects of Gauge Theories

To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome. The article surveys topological aspects in gauge theories.

hep-th↗
arXiv2004

Inserting Group Variables into Fluid Mechanics

A fluid, like a quark-gluon plasma, may possess degrees of freedom indexed by a group variable, which retains its identity even in the fluid/continuum description. Conventional Eulerian fluid mechanics is extended to encompass this possibility.

hep-th↗
arXiv2004

Cotton Blend Gravity $pp$ Waves

We study conformal gravity in d=2+1, where the Cotton tensor is equated to a--necessarily traceless--matter stress tensor, for us that of the improved scalar field. We first solve this system exactly in the $pp$ wave regime, then show it to be equivalent to topologically massive gravity.

gr-qc↗
arXiv2004

A Pure Cotton Kink in a Funny Place

When the 3-dimensional gravitational Chern-Simons term is reduced to two dimensions a dilaton-like gravity theory emerges. Its solutions involve kinks, which therefore describe 3-dimensional, conformally flat spaces.

math-ph↗
arXiv2004

Perfect Fluid Theory and its Extensions

We review the canonical theory for perfect fluids, in Eulerian and Lagrangian formulations. The theory is related to a description of extended structures in higher dimensions. Internal symmetry and supersymmetry degrees of freedom are incorporated. Additional miscellaneous subjects that are covered include physical topics concerning quantization, as well as mathematical issues of volume preserving diffeomorphisms and representations of Chern-Simons terms (= vortex or magnetic helicity).

hep-ph↗