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...
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...
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.
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I know that maybe the review it is out of date, for example there is just a briefly...
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...
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...
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...
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.
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...
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.
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...