Built on

A. Polyakov, Compact Gauge Fields and the Infrared Catastrophe . Physics Letters B 59 1 (1975)
1975
Earlier work this paper cites.
S. Weinberg, E. Witten, Limits on Massless Particles . Physics Letters B 96 (1980)
1980
Earlier work this paper cites.
P. Orland, Instantons and Disorder in Antisymmetric Tensor Gauge Fields . Nuclear Physics B205[FS5] (1982) 107-118
1982
Earlier work this paper cites.
R. Pearson, Phase Structure of Antisymmetric Tensor Gauge Fields . Phys. Rev. D 26 2013 (1982)
1982
Earlier work this paper cites.
S.-J. Rey, Higgs Mechanism for Kalb-Ramond Gauge Field . Phys. Rev. D 40 3396 (1989)
1989
Earlier work this paper cites.
M. Stone, Quantum Hall Effect . World Scientific (1992)
1992
Earlier work this paper cites.
J. B. Barbour and Herbert Pfister (Editors), Mach’s Principle: From Newton’s Bucket to Quantum Gravity . Birkhauser (1995)
1995
Earlier work this paper cites.
M. Vasiliev, Higher-Spin Gauge Theories in Four, Three, and Two Dimensions . Int. J. Mod. Phys. D 5, arXiv:hep-th/9611024v2 (1996)
1996
Earlier work this paper cites.
C. Chamon, Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection . Phys. Rev. Lett. 94 040402, arXiv:cond-mat/0404182v2 (2004)
2004
Earlier work this paper cites.
Z.-C. Gu, X.-G. Wen, A Lattice Bosonic Model as a Quantum Theory of Gravity . arXiv:gr-qc/0606100 (2006)
2006
Earlier work this paper cites.
C. Xu, Novel Algebraic Boson Liquid Phase with Soft Graviton Excitations . arXiv:cond-mat/0602443v4 (2006)
2006
Earlier work this paper cites.
C. Xu, Gapless Bosonic Excitation without Symmetry Breaking: Novel Algebraic Spin Liquid with Soft Gravitons . Phys. Rev. B. 74, 224433, arXiv:cond-mat/0609595 (2006)
2006
Earlier work this paper cites.

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2017

Emergent Gravity of Fractons: Mach's Principle Revisited

Pretko, Michael

Understand

Recent work has established the existence of stable quantum phases of matter described by symmetric tensor gauge fields, which naturally couple to particles of restricted mobility, such as fractons.

We focus on a minimal toy model of a rank 2 tensor gauge field, consisting of fractons coupled to an emergent graviton (massless spin-2 excitation).
We show how to reconcile the immobility of fractons with the expected gravitational behavior of the model.
First, we reformulate the fracton phenomenon in terms of an emergent center of mass quantum number, and we show how an effective attraction arises from the principles of locality and conservation of center of mass.

Built on

A. Polyakov, Compact Gauge Fields and the Infrared Catastrophe . Physics Letters B 59 1 (1975)
1975
Earlier work this paper cites.
S. Weinberg, E. Witten, Limits on Massless Particles . Physics Letters B 96 (1980)
1980
Earlier work this paper cites.
P. Orland, Instantons and Disorder in Antisymmetric Tensor Gauge Fields . Nuclear Physics B205[FS5] (1982) 107-118
1982
Earlier work this paper cites.
R. Pearson, Phase Structure of Antisymmetric Tensor Gauge Fields . Phys. Rev. D 26 2013 (1982)
1982
Earlier work this paper cites.
S.-J. Rey, Higgs Mechanism for Kalb-Ramond Gauge Field . Phys. Rev. D 40 3396 (1989)
1989
Earlier work this paper cites.
M. Stone, Quantum Hall Effect . World Scientific (1992)
1992
Earlier work this paper cites.
J. B. Barbour and Herbert Pfister (Editors), Mach’s Principle: From Newton’s Bucket to Quantum Gravity . Birkhauser (1995)
1995
Earlier work this paper cites.
M. Vasiliev, Higher-Spin Gauge Theories in Four, Three, and Two Dimensions . Int. J. Mod. Phys. D 5, arXiv:hep-th/9611024v2 (1996)
1996
Earlier work this paper cites.
C. Chamon, Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection . Phys. Rev. Lett. 94 040402, arXiv:cond-mat/0404182v2 (2004)
2004
Earlier work this paper cites.
Z.-C. Gu, X.-G. Wen, A Lattice Bosonic Model as a Quantum Theory of Gravity . arXiv:gr-qc/0606100 (2006)
2006
Earlier work this paper cites.
C. Xu, Novel Algebraic Boson Liquid Phase with Soft Graviton Excitations . arXiv:cond-mat/0602443v4 (2006)
2006
Earlier work this paper cites.
C. Xu, Gapless Bosonic Excitation without Symmetry Breaking: Novel Algebraic Spin Liquid with Soft Gravitons . Phys. Rev. B. 74, 224433, arXiv:cond-mat/0609595 (2006)
2006
Earlier work this paper cites.