Fetching the paper…

Reading the bibliography…

Gravity in presence of fermions as a SU(2) gauge theory · Around

2010

Gravity in presence of fermions as a SU(2) gauge theory

Cianfrani, F., Montani, G.

Original
PDF
Post on X

Understand

The Hamiltonian formulation of the Holst action in presence of a massless fermion field with a non-minimal Lagrangian is performed without any restriction on the local Lorentz frame.

It is outlined that the phase space structure does not resemble that one of a background independent Lorentz gauge theory, as some additional constraints are present.
Proper phase space coordinates are introduced, such that SU(2) connections can be defined and the vanishing of conjugate momenta to boost variables is predicted.
Finally, it is demonstrated that for a particular value of the non-minimal parameter the kinematics coincides with that one of a background independent SU(2) gauge theory and the Immirzi parameter becomes the coupling constant of such an interaction between fermions and the gravitational field.

Built on

D. R. Brill, J. A. Wheeler, Rev. Mod. Phys
1957
Earlier work this paper cites.
R. Haag, “Local quantum physics : fields, particles, algebras” - Berlin : Springer-Verlag, (1992) - XIV
1992
Earlier work this paper cites.
A. Ashtekar, Phys. Rev. Lett
1995
Earlier work this paper cites.
S. Holst, Phys. Rev. D
1996
Earlier work this paper cites.
C. Rovelli, L. Smolin, Nucl. Phys. B
1997
Earlier work this paper cites.
T. Thiemann, Class. Quant. Grav
1998
Earlier work this paper cites.

Similar

C. Rovelli, T. Thiemann, Phys. Rev. D
1998
Cited alongside, same era.
C. Rovelli, “Quantum gravity”, Cambridge University Press, Cambridge, (2004), XXIII; T. Thiemann, “Modern Canonical Quantum General Relativity”, (Cambridge University Press, Cambridge, England, 2006); F. Cianfrani, O.M. Lecian, G. Montani, “Fundamentals and recent developments in non-perturbative canonical Quantum Gravity”, arXiv:0805.2503
Original
2006
Cited alongside, same era.
A. Ashtekar and J. Lewandowski, J. Geom. Phys
2006
Cited alongside, same era.
S. Mercuri, Phys. Rev. D
2006
Cited alongside, same era.
A. Perez, C. Rovelli, Phys. Rev. D
2006
Cited alongside, same era.
F. Cianfrani, G. Montani, Phis. Rev. Lett
Original
2008
Cited alongside, same era.

Then

M. Bojowald, R. Das, Phys. Rev. D
2008
Later among the works it cites.
S. Alexandrov, Class. Quant. Grav
2008
Later among the works it cites.
J. Engle, R. Pereira, C. Rovelli, Phys. Rev. Lett
Original
2008
Later among the works it cites.
F. Cianfrani, G. Montani, Phis. Rev. D
2009
Later among the works it cites.
F. Cianfrani, G. Montani, Phis. Rev. D
2009
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…