Generalized Wick transform for gravity

New Variables for Classical and Quantum Gravity

Ashtekar, A. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.2244 · Cited by 1,663 · see citing works

Discreteness of area and volume in quantum gravity

Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · see citing works

New Hamiltonian formulation of general relativity

Ashtekar, A. (1987) · Physical Review D · doi:10.1103/physrevd.36.1587 · Cited by 1,119 · see citing works

Lectures on Non-Perturbative Canonical Gravity

Ashtekar, A. (1991) · Advanced Series in Astrophysics and Cosmology · doi:10.1142/1321 · Cited by 872 · see citing works

Loop space representation of quantum general relativity

Rovelli, C., & Smolin, L. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90019-a · Cited by 806 · see citing works

Real Ashtekar variables for Lorentzian signature space-times

Barbero G., J. F. (1995) · Physical Review D · doi:10.1103/physrevd.51.5507 · Cited by 758 · see citing works

Quantization of diffeomorphism invariant theories of connections with local degrees of freedom

Ashtekar, A., Lewandowski, J., Marolf, D., Mourão, J., & Thiemann, T. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531252 · Cited by 528 · see citing works

Representations of the holonomy algebras of gravity and nonAbelian gauge theories

Ashtekar, A., & Isham, C. J. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/6/004 · Cited by 310 · see citing works

Differential geometry on the space of connections via graphs and projective limits

Ashtekar, A., & Lewandowski, J. (1995) · Journal of Geometry and Physics · doi:10.1016/0393-0440(95)00028-g · Cited by 303 · see citing works

Generalized measures in gauge theory

Baez, J. C. (1994) · Letters in Mathematical Physics · doi:10.1007/bf00761713 · Cited by 139 · see citing works

On the support of the Ashtekar-Lewandowski measure

Marolf, D., & Mourão, J. M. (1995) · Communications in Mathematical Physics · doi:10.1007/bf02099150 · Cited by 136 · see citing works

Quantum linearization instabilities of de Sitter spacetime. II

Higuchi, A. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/11/010 · Cited by 128 · see citing works

Volume Operator in Discretized Quantum Gravity

Loll, R. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.3048 · Cited by 124 · see citing works

Rieffel induction as generalized quantum Marsden-Weinstein reduction

Landsman, N. P. (1995) · Journal of Geometry and Physics · doi:10.1016/0393-0440(94)00034-2 · Cited by 116 · see citing works

Mathematics and General Relativity

Isenberg, J. A. (1988) · Contemporary mathematics - American Mathematical Society · doi:10.1090/conm/071 · Cited by 111 · see citing works

Knots and quantum gravity

Gibbons, G. W. (1995) · Contemporary Physics · doi:10.1080/00107519508222175 · Cited by 109 · see citing works

Reality conditions inducing transforms for quantum gauge field theory and quantum gravityPreprint

Thiemann, T., & Cgpg, P. (1995) · Cited by 77 · see citing works

Linearized quantum gravity in flat space with toroidal topology

Higuchi, A. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/11/012 · Cited by 38 · see citing works

Outline of a generally covariant quantum field theory and a quantum theory of gravity

Rovelli, C. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531255 · Cited by 37 · see citing works

An integrable model of quantum gravity

Korokin, D., & Nicolai, H. (1995) · Physics Letters B · doi:10.1016/0370-2693(95)00832-6 · Cited by 6 · see citing works

Quantum spin dynamics (QSD)

Thiemann, T. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/4/011 · Cited by 750 · see citing works

Quantum gravity: a progress report

Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449 · see citing works

Quantum spin dynamics (QSD): V. Quantum gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories

Thiemann, T. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/5/012 · Cited by 416 · see citing works

“Sum over surfaces” form of loop quantum gravity

Reisenberger, M. P., & Rovelli, C. (1997) · Physical Review D · doi:10.1103/physrevd.56.3490 · Cited by 372 · see citing works

Loop quantum gravity and light propagation

Alfaro, J., Morales-Técotl, H. A., & Urrutia, L. F. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.103509 · Cited by 337 · see citing works

A short review of loop quantum gravity

Ashtekar, A., & Eugenio Bianchi, A. (2021) · Reports on Progress in Physics · doi:10.1088/1361-6633/abed91 · Cited by 308 · see citing works

Quantum spin dynamics (QSD): II. The kernel of the Wheeler - DeWitt constraint operator

Thiemann, T. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/4/012 · Cited by 247 · see citing works

Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity

Thiemann, T. (1996) · Cited by 228 · see citing works

Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity

De Pietri, R., & Rovelli, C. (1996) · Physical Review D · doi:10.1103/physrevd.54.2664 · Cited by 201 · see citing works

Immirzi parameter in quantum general relativity

Rovelli, C., & Thiemann, T. (1998) · Physical Review D · doi:10.1103/physrevd.57.1009 · Cited by 171 · see citing works

Quantum spin dynamics (QSD): III. Quantum constraint algebra and physical scalar product in quantum general relativity

Thiemann, T. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/5/010 · Cited by 170 · see citing works

A Length Operator for Canonical Quantum Gravity

Thiemann, T. (1996) · Cited by 151 · see citing works

Quantum gravity and spin-1/2 particle effective dynamics

Alfaro, J., Morales-Técotl, H. A., & Urrutia, L. F. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.124006 · Cited by 114 · see citing works

Quantum tetrahedra and simplicial spin networks

Barbieri, A. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00093-5 · Cited by 113 · see citing works

<i>SO</i> (4, <i>C</i> )-covariant Ashtekar-Barbero gravity and the Immirzi parameter

Alexandrov, S. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/20/307 · Cited by 112 · see citing works

Volume and quantizations

Lewandowski, J. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/1/010 · Cited by 112 · see citing works

Quantum tetrahedra and simplicial spin networks

Barbieri, A. (1997) · CERN Document Server (European Organization for Nuclear Research) · Cited by 99 · see citing works

Reality conditions inducing transforms for quantum gauge field theory and quantum gravityPreprint

Thiemann, T., & Cgpg, P. (1995) · Cited by 77 · see citing works

Is Barbero's Hamiltonian formulation a Gauge Theory of Lorentzian Gravity?

Samuel, J. (2000) · CERN Document Server (European Organization for Nuclear Research) · Cited by 64 · see citing works

Geometric temperature and entropy of quantum isolated horizons

Pranzetti, D. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.104046 · Cited by 42 · see citing works

Path integral for the Hilbert-Palatini and Ashtekar gravity

Alexandrov, S. Y., & Vassilevich, D. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.58.124029 · Cited by 33 · see citing works

The inverse loop transformPreprint

Thiemann, T., & Cgpg, P. (1998) · Cited by 30 · see citing works

First order gravity on the light front

Alexandrov, S. Y., & Simone Speziale, D. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.064043 · Cited by 29 · see citing works

Gravitational Dynamics—A Novel Shift in the Hamiltonian Paradigm

Ashtekar, A., & Varadarajan, M. (2021) · Universe · doi:10.3390/universe7010013 · Cited by 26 · see citing works

The inverse loop transform

Thiemann, T. (1998) · Journal of Mathematical Physics · doi:10.1063/1.532344 · Cited by 24 · see citing works

Chiral fermions coupled to chiral gravity

Mielke, E. W., Macı́as, A., & Morales-Técotl, H. A. (1996) · Physics Letters A · doi:10.1016/0375-9601(96)00218-6 · Cited by 24 · see citing works

Gauge group and reality conditions in Ashtekar’s complex formulation of canonical gravity

Pons, J. M., Salisbury, D., & Shepley, L. C. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.064026 · Cited by 24 · see citing works

Real alternative to quantum gravity in loop space

Loll, R. (1996) · Physical Review D · doi:10.1103/physrevd.54.5381 · Cited by 19 · see citing works

Generalization of the Hilbert-Palatini Action in Four-Dimensional Gravity

Wu, Y., & Li, J. (2001) · Chinese Physics Letters · doi:10.1088/0256-307x/18/3/306 · Cited by 13 · see citing works

Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean spacePreprint

Bergamin, L., Grumiller, D., Kummer, W., Vassilevich, D. V., & Hauptstr, W. (2004) · Cited by 12 · see citing works

On the constraint algebra of quantum gravity in the loop representation

Brügmann, B. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00241-6 · Cited by 11 · see citing works

Note on Canonical Quantization and Unitary (in)-Equivalence in Field Theory

Corichi, A., Cortez, J., & Quevedo, H. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 11 · see citing works

FLUCTUATIONS QUANTIQUES DE LA SIGNATURE DE LA METRIQUE A L'ECHELLE DE PLANCK

Bogdanoff, G. (1999) · HAL · Cited by 11 · see citing works

From Euclidean to Lorentzian loop quantum gravity via a positive complexifier

Varadarajan, M. (2018) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aaf2cd · Cited by 10 · see citing works

Note on canonical quantization and unitary equivalence in field theory

Corichi, A., Cortez, J. N., & Quevedo, H. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/7/101 · Cited by 9 · see citing works

An Alternative Canonical Approach to the Ghost Problem in a Complexified Extension of the Pais-Uhlenbeck Oscillator

Dector, A. (2009) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2009.053 · Cited by 7 · see citing works

EXPERIMENTAL TESTS OF FUNDAMENTAL SYMMETRIES IN POSITRONIUM ANNIHILATION

VETTER, P. A. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04020130 · Cited by 7 · see citing works

Wick rotation for spin foam quantum gravity

Donà, P., Gozzini, F., & Nicotra, A. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.126008 · Cited by 6 · see citing works

Towards self dual Loop Quantum GravityPreprint

Achour, J. B. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1511.07332 · Cited by 6 · see citing works

Chiral supergravity and anomalies

Mielke, E. W., & Macı́as, A. (1999) · Annalen der Physik · doi:10.1002/andp.19995110402 · Cited by 5 · see citing works

Double Complex (Anti-)self-dual Variables and a Related Double Action in Four-dimensional Gravity

Bo, W. Y., & Xing, G. Y. (1999) · General Relativity and Gravitation · doi:10.1023/a:1018883908767 · Cited by 5 · see citing works

Generalized Wick transform in dimensionally reduced gravity

Hartmann, B., & niewski, J. W. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/2/024 · Cited by 3 · see citing works

Immirzi ambiguity in the kinematics of quantum general relativity

Garay, L. J., & Marugán, G. A. M. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.024021 · Cited by 3 · see citing works

Ashtekar constraint surface as projection of the Hilbert-Palatini one

Khatsymovsky, V. M. (1997) · Physics Letters B · doi:10.1016/s0370-2693(96)01691-7 · Cited by 2 · see citing works

Лоренц-ковариантная петлевая квантовая гравитация

Alexandrov, S. Y. (2004) · Теоретическая и математическая физика · doi:10.4213/tmf62

Spin foam models of quantum gravity : advances through new techniques and numerical codes

Gozzini, F. (2021) · doi:10.70675/4c1ae607zab75z4e83zaf87z9d963a508ea0

Toller matrices and the Feynman i ϵ in spinfoams

Eugenio Bianchi, A., Chen, C., & Gamonal, M. (2026) · Physical review. D/Physical review. D. · doi:10.1103/v3kc-4n3n

A Generalized Wick Transform for GravityPreprint

Ashtekar, A. (1995) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9511083

A Generalised Wick Transform for GravityPreprint

Ashtekar, A. (2013)

Generalized Wick transform in dimensionally reduced gravity

Hartmann, B., & niewski, J. W. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/2/024 · Cited by 3 · see citing works

gr-qc/9805010 Thiemann transform for gravity with matter fieldsPreprint

Garay, L. J., & Marugán, G. A. M. (1998)

Geometric interpretation of Thiemann's generalized Wick transformPreprint

Marugán, G. A. M. (1997) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9705031 · Cited by 3 · see citing works