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High Energy Physics - Theory

arXiv:1805.05299 (hep-th)
[Submitted on 14 May 2018 (v1), last revised 8 Aug 2018 (this version, v2)]

Title:On the polymer quantization of connection theories: graph coherent states

Authors:Mehdi Assanioussi
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Abstract:We present the construction of a new family of coherent states for quantum theories of connections obtained following the polymer quantization. The realization of these coherent states is based on the notion of graph change, in particular the one induced by the quantum dynamics in Yang-Mills and gravity quantum theories. Using a Fock-like canonical structure that we introduce, we derive the new coherent states that we call the graph coherent states. These states take the form of an infinite superposition of basis network states with different graphs. We further discuss the properties of such states and certain extensions of the proposed construction.
Comments: 16 pages, revised version with typos in some equations corrected
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:1805.05299 [hep-th]
  (or arXiv:1805.05299v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.05299
Journal reference: Phys. Rev. D 98, 045016 (2018)
Related DOI: https://doi.org/10.1103/PhysRevD.98.045016

Submission history

From: Mehdi Assanioussi [view email]
[v1] Mon, 14 May 2018 17:23:15 UTC (69 KB)
[v2] Wed, 8 Aug 2018 18:19:26 UTC (62 KB)
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