Recent content by zwicky

  1. Z

    Uncovering the Role of K in Canonical Variables of Loop Quantum Gravity

    Thank you for taking your time Marcus. I agree with you that my question is related with the "old" canonical formalism, and now the tendency is to start directly with spin foam formalism with a 4d connection (tK would be related with the 0-component of \omega, 0-component with respect of group...
  2. Z

    Uncovering the Role of K in Canonical Variables of Loop Quantum Gravity

    In LQG the canonical variables are a SU(2) connection A, and the "electric" field E, such that they form a canonical pair, i.e., {A,E}=1. But the constraints that generates diffeomorphisms contains also the variable K (extrinsic curvature). My question is, is this variable an independent one? if...
  3. Z

    Alternate derivation of Lorentz Trans.

    I think these approaches will derive the existence of a fundamental velocity scale instead. Experimentally equal to the speed of light in vacuo for not to short wave length.
  4. Z

    Does anybody here remember Kodama state?

    Greetings! I was just reading a very interesting review about Loop Quantum gravity by L. Smolin entitled "Quantum Gravity with a positive cosmological constant" http://arxiv.org/abs/hep-th/0209079 I know that maybe the review it is out of date, for example there is just a briefly...
  5. Z

    Simplicity Constraints in Spin Foams: Physical Meaning & Motivation

    Thanks Marcus, I will think about that.
  6. Z

    Simplicity Constraints in Spin Foams: Physical Meaning & Motivation

    Thank you very much for your comments Marcus! Well, yes, according tho the reference the simplicity constraint enforces B to be related with the tedrad in such a way we end with GR, otherwise we just end with a BF theory. But still I have the same question, what is the physics, if there is...
  7. Z

    Simplicity Constraints in Spin Foams: Physical Meaning & Motivation

    Hello everybody. I have a question about the physical meaning of the simplicity constraints that is often used in spin foams. For example, in http://arxiv.org/PS_cache/arxiv/pdf/1004/1004.1780v4.pdf, eq. (34), it is written as K=-\gamma L where K are the boost and L the rotations. Is...
  8. Z

    Quadratic invariant in Chern-Simons Th. w/ ISO(2,1) group.

    Hi dudes. I'm studying the paper of Witten: 2+1 Dimensional gravity as an exactly soluble system. Before eq (2.8) the author justifies as a way to find the inner product the fact that in this theory we have the casimir \epsilon_{abc}P^aJ^b. Then he introduce the invariant quadratic form...
  9. Z

    Does anyone know about a list of course on Quantum GRavity for the current year?

    Hi there! Just asking for a website with a detailed list of winter/summer schools, workshops and so on for the full present year, related with quantum gravity. Thank you very much in advance.
  10. Z

    Trying to learn Spinf Foams and a lot of questions

    Hi everybody! To point, I'm studying the paper of Perez (http://arxiv.org/PS_cache/gr-qc/pdf/0402/0402110v3.pdf) in at the end of page 12 can be read something like \sum_{j_p}(2j_{j_p}+1)<\prod_p\chi_{j_p}(U_p)s,s'>=<\prod_{j_p}\sum_{j_p}(2j_{j_p}+1)\chi_{j_p}(U_p)s,s'> My question is...
  11. Z

    Why the term cylindrical functions for the states in LQG?

    Why the term "cylindrical functions" for the states in LQG? I just can't find a any reference that explain the why of the term "cylindrical" for the states in LQG. Thanks in advance for any comment. Z.
  12. Z

    Prove Chern-Simons Dispersion Relation | Carrol, Field, Jackiw

    Muiti obrigado Dave! Best from Brazil! Zwicky
  13. Z

    Prove Chern-Simons Dispersion Relation | Carrol, Field, Jackiw

    Hi everybody! Is there someone that can help me to prove that \omega^2E-k^2E=-ip_0k\times E+i\omega p\times E imply that the dispersion relation is (k^\mu k_\mu)^2+(k^\mu k_\mu)(p^\nu p_\nu)=(k^\mu p_\mu)^2 Thanks in advance ;) p.d. The reference for this formula is the...
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