Michael Stone

University of Illinois Urbana-Champaign

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Paul M. Goldbart

Stony Brook University

Anupam Garg

Northwestern University

H. W. Wyld

University of Illinois Urbana-Champaign

John B. Kogut

University of Maryland, College Park

Vatsal Dwivedi

Freie Universität Berlin

Stephen H. Shenker

Stanford University

D.K. Sinclair

University of Maryland, College Park

J. Shigemitsu

The Ohio State University

Jiyoung Kim

The University of Texas at Dallas

Suk Bum Chung

Korea Institute for Advanced Study

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Harvard University Press

Harvard University

University of Illinois Urbana-Champaign

University of Notre Dame

Claremont Colleges

Cabrini University

Episcopal Divinity School

University of California, Santa Barbara

Massachusetts Institute of Technology

University of Divinity

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Scales of Chiral Symmetry Breaking in Quantum Chromodynamics

Physical Review Letters (1982)

John B. Kogut Michael Stone H. W. Wyld J. Shigemitsu Stephen H. Shenker

Computer simulations indicate that the range of the force responsible for chiral symmetry breaking in quantum chromodynamics is relatively short, independent of confinement, and depends strongly on the color representation of the quarks. Chiral-symmetry restoration temperatures are obtained for quarks in either the fundamental or the adjoint representations of color SU(2). Results on higher representations support the symmetry-breaking pattern ("tumbling") suggested by Raby, Dimopoulos, and Susskind.

Color confinement

10.1103/physrevlett.48.1140

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Citations (191)

Modeling quantum behavior in condensed matter

Physics Today (2018)

Michael Stone

Quantum Field Theory and Condensed Matter: An Introduction, R. Shankar, Cambridge U. Press, 2017, $74.99 Buy at Amazon

State of matter

10.1063/pt.3.3951

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Citations (1)

Topological charge and chiral anomalies in fermi superfluids

Annals of Physics (1987)

Michael Stone Frank Gaitan

Formalism (music)

Topological defect

Anomaly (physics)

10.1016/s0003-4916(87)80014-3

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Citations (64)

Fusion rules and vortices inpx+ipysuperconductors

Physical Review B (2006)

Michael Stone Suk Bum Chung

The "half-quantum" vortices ($\sigma$) and quasiparticles ($\psi$) in a two-dimensional $p_x+ip_y$ superconductor obey the Ising-like fusion rules $\psi\times \psi=1$, $\sigma\times \psi=\sigma$, and $\sigma\times \sigma= 1+\psi$. We explain how the physical fusion of vortex-antivortex pairs allows us to use these rules to read out the information encoded in the topologically protected space of degenerate ground states. We comment on the potential applicability of this fact to quantum computation. Modified 11/30/05 to reflect manuscript as accepted for publication. Includes corrected last section.

Sigma

10.1103/physrevb.73.014505

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Citations (129)

Zero modes, boundary conditions and anomalies on the lattice and in the continuum

Annals of Physics (1984)

Michael Stone

Atiyah–Singer index theorem

Lattice (music)

10.1016/0003-4916(84)90252-5

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Citations (39)

Electrons in Solids

Graduate texts in contemporary physics (2000)

Michael Stone

Momentum (technical analysis)

10.1007/978-1-4612-0507-4_9

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Lattice Field Theory

Graduate texts in contemporary physics (2000)

Michael Stone

Lattice (music)

Feynman integral

Effective field theory

10.1007/978-1-4612-0507-4_15

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AN INDEX THEOREM FOR GRAPHENE

International Journal of Modern Physics B (2007)

Jiannis K. Pachos Michael Stone

We consider a graphene sheet folded in an arbitrary geometry, compact or with nanotube-like open boundaries. In the continuous limit, the Hamiltonian takes the form of the Dirac operator, which provides a good description of the low energy spectrum of the lattice system. We derive an index theorem that relates the zero energy modes of the graphene sheet with the topology of the lattice. The result coincides with analytical and numerical studies for the known cases of fullerene molecules and carbon nanotubes, and it extends to more complicated molecules. Potential applications to topological quantum computation are discussed.

Hamiltonian (control theory)

Atiyah–Singer index theorem

Topological index

Lattice (music)

Zero-point energy

10.1142/s0217979207038228

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Citations (16)

Green functions

Cambridge University Press eBooks (2009)

Michael Stone Paul M. Goldbart

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Content (measure theory)

10.1017/cbo9780511627040.006

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INTRODUCTION

WORLD SCIENTIFIC eBooks (1994)

Michael Stone

10.1142/9789812812650_0001

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Citations (1)