Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Infinite number of Hamiltonian constraints

  1. Oct 4, 2005 #1


    User Avatar
    Science Advisor
    Gold Member
    Dearly Missed


    "Recently the Master Constraint Programme (MCP) for Loop Quantum Gravity (LQG) was launched which replaces the infinite number of Hamiltonian constraints by a single Master constraint. The MCP is designed to overcome the complications associated with the non-Lie-algebra structure of the Dirac algebra of Hamiltonian constraints and was successfully tested in various field theory models. For the case of 3+1 gravity itself, so far only a positive quadratic form for the Master Constraint Operator was derived. In this paper we close this gap and prove that the quadratic form is closable and thus stems from a unique self-adjoint Master Constraint Operator. The proof rests on a simple feature of the general pattern according to which Hamiltonian constraints in LQG are constructed and thus extends to arbitrary matter coupling and holds for any metric signature. With this result the existence of a physical Hilbert space for LQG is established by standard spectral analysis."

    he likes to finish what he has begun.

    Last edited: Oct 4, 2005
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Threads - Infinite number Hamiltonian Date
A The infinite momentum frame Apr 25, 2016
Infinite Loop Jun 15, 2015
Infinite amout of energy? May 30, 2011
If there are an infinite number of universes. Feb 27, 2010
Could there be an infinite number of dimensions? Mar 22, 2009