Croatian Science Foundation Research Project
Project: Towards quantum gravity: noncomutative geometry, field theory and cosmology
Principal Investigator (PI): Stjepan Meljanac, Dr.sc. - senior scientist, Rudjer Bošković Institute (RBI)
- Team Members and Research Group:
- Velimir Bardek, Dr.sc. - senior research associate, RBI
- Nevenko Bilić, Dr. sc. - senior scientist, RBI (retired)
- Silvije Domazet, Dr.sc. - postdoc, RBI
- Raul Horvat, Dr.sc. - senior scientist, RBI
- Tajron Jurić, Dr.sc. - postdoc, RBI
- Danijel Pikutić, Mag.Phys. - PhD student, RBI
- Anđelo Samsarov, Dr.sc. - research associate, RBI
- Rina Štrajn, Dr.sc. - postdoc, RBI (employed by the project)
- Josip Trampetić, Dr. sc. - senior scientist, RBI (retired)
- Jiangyang You, PhD. - postdoc, RBI (employed by the project)
Starting date: 1.09.2015.
Ending date: 31.8.2017.
Project proposal summary
The proposed project aims at carrying out research on various aspects
of quantum gravity, related areas of mathematical physics, certain
topics in cosmology, astroparticle physics and physics of black holes.
Whereas a satisfactory theory of quantum gravity still remains elusive,
some of the assessed properties revealing a nonlocal character of such a
theory (i.e. noncommutativity of spacetime coordinates,
ultraviolet/infrared (UV/IR) mixing and the holographic principle) has
already changed our perspective upon reconciliation of the quantum
field theory (QFT) framework with general relativity. A particular
attention will be paid to construction, classification and unification
of noncomutative (NC) spaces. In this regard, a procedure can be defined
by making use of rigorous quantum deformation techniques as well as
some well-known differential algebra concepts such as the Hopf algebra.
This permits formulation and study of the twist-deformed Riemannian
geometry, the twisted version of Einstein's equations and the algebraic
structure on kappa-deformed Minkowski space. A further extension of
these ideas opens a possibility to study NC effect in black holes.
Furthermore, using the tools of QFT in curved spacetime, several aspects
of modern cosmology will be covered including those based on the most
successful realization of the holographic principle - the AdS/CFT
duality. Finally, a class of quantum gravity models will be tested by
probing Lorentz violation in observations of rapidly-varying
astrophysical sources of high-energy gamma-rays. This requires a
full-fledged field-theoretical model with a trouble-free and meaningful
quantum loop results, with all UV and IR pathologies being under
control.
Objectives of the proposed research
- NC differential geometry on deformed spaces
- NC metric
- NC fields in BTZ background
- NC gravity
- NC physics and near horizon geometries
- θ-exact covariant NCQFT
- New couplings/new processes
- Limit on the non-commutative scale
- Application to Astroparticle physics
- Hadronic fluid and AdS/CFT
- K-essence unification and De Sitter invariant propagators
Publications
- T. Jurić, S. Meljanac, D. Pikutić and R. Štrajn,"Toward the classification of differential calculi on κ-Minkowski space and related field theories", JHEP 1507, 055 (2015), arXiv:1502.02972.
- R. Horvat, "Avoiding Boltzmann Brain domination in holographic dark energy models", Phys.Lett. B 750, 181 (2015), arXiv:1502.06348.
- T. Jurić, S. Meljanac and A. Samsarov, "Light-like κ-deformations and scalar field theory via Drinfeld twist", J.Phys.Conf.Ser. 634, no. 1, 012005 (2015), arXiv:1506.02475.
- R. Horvat, J. Trampetić and J. You, "Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution", Phys. Rev. D 92, 125006 (2015), arXiv:1506.02864.
- T. Juric, S. Meljanac and D. Pikutić, "Realizations of kappa-Minkowski space, Drinfeld twists and related symmetry algebras", Eur. Phys. J. C 75, no. 11, 528 (2015), arXiv:1506.04955.
- A. Géré, T. Jurić and J. C. Wallet, "Noncommutative gauge theories on ${\mathrm{\mathbb{R}}}_{\lambda}^3$: perturbatively finite models", JHEP 1512, 045 (2015), arXiv:1507.08086.
- S. Meljanac, A. Pachoł and D. Pikutić, "Twisted conformal algebra related to kappa-Minkowski space", Phys. Rev. D 92, no. 10, 105015 (2015), arXiv:1509.02115.
- R. Horvat, J. Trampetić and J. You, "Photon self-interaction on deformed spacetime", Phys. Rev. D 92, no. 12, 125006 (2015), 125006 (2015), arXiv:1510.08691.
- S. Meljanac, S. Krešić-Jurić and T. Martinić, "The Weyl realizations of Lie algebras and left-right duality, arXiv:1511.03936 [math-ph].
- T. Jurić, S. Meljanac and A. Samsarov, "Twist deformations leading to kappa-Poincare Hopf algebra and their application to physics", arXiv:1511.05592 [hep-th].
- N. Bilić,
"Randall-Sundrum versus holographic cosmology",
Phys. Rev. D 93, no. 6, 066010 (2016), arXiv:1511.07323.
- A. Borowiec, T. Juric, S. Meljanac, A. Pachoł, "Noncommutative tetrads and quantum spacetimes", arXiv:1602.01292.
- T. Jurić, A. Samsarov, "Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry", arXiv:1602.01488.
- C. P. Martin, J. Trampetić, J. You, "Quantum duality under the θ-exact Seiberg-Witten map", JHEP 1609 (2016) 052
- S. Meljanac, D. Meljanac, F. Mercati, D. Pikutić, "Noncommutative spaces and Poincaré symmetry", Phys.Lett. B 766 (2017) 181-185
- S. Meljanac, Z. Škoda, M. Stojić, "Lie algebra type noncommutative phase spaces are Hopf algebroids", Lett.Math.Phys. 107 (2017) no.3, 475-503
- N. Bilić, D. D. Dimitrijević, G. S. Đorđević, M. Milošević, "Tachyon inflation in an AdS braneworld with backreaction", Int.J.Mod.Phys. A 32 (2017) no.05, 1750039
- S. Meljanac, D. Meljanac, S. Mignemi, R. Štrajn, "Quantum field theory in generalised Snyder spaces", Phys.Lett. B 768 (2017) 321-325
- S. Mignemi, A. Samsarov, "Relative-locality effects in Snyder spacetime", Phys.Lett. A 381 (2017) 1655-1658
- S. Meljanac, D. Meljanac, A. Pachoł, D. Pikutić, "Remarks on simple interpolation between Jordanian twists", J.Phys. A 50 (2017) no.26, 265201
- R. Horvat, J. Trampetić, J. You, "Spacetime deformation effect on the early universe and the PTOLEMY experiment", Phys.Lett. B 772 (2017) 130-135
- S. Meljanac, S. Krešić-Jurić, T. Martinić, "Realization of bicovariant differential calculus on the Lie algebra type noncommutative spaces", J. Math. Phys. 58 (2017) 071701
- N. Loret, S. Meljanac, F. Mercati, D. Pikutić, "Vectorlike deformations of relativistic quantum phase-space and relativistic kinematics", Int.J.Mod.Phys. D 26 (2017) no.11, 1750123
- K. S. Gupta, T. Jurić, A. Samsarov, "Noncommutative duality and fermionic quasinormal modes of the BTZ black hole", JHEP 1706 (2017) 107
- N. Bilić, S. Domazet, G. S. Đorđević, "Tachyon with an inverse power-law potential in a braneworld cosmology", Class.Quant.Grav. 34 (2017) no.16, 165006
- T. Jurić, T. Poulain, J.-C. Wallet, "Involutive representations of coordinate algebras and quantum spaces", JHEP 1707 (2017) 116
- S. Meljanac, S. Mignemi, J. Trampetić, J. You, "Nonassociative Snyder ϕ4 quantum field theory", Phys.Rev. D 96 (2017) no.4, 045021
- N. Bilić, S. Domazet, G. S. Đorđević, "Particle creation and reheating in a braneworld inflationary scenario", Phys.Rev. D 96 (2017) no.8, 083518
- S. Meljanac, D. Meljanac, S. Mignemi, R. Štrajn, "Snyder-type space–times, twisted Poincaré algebra and addition of momenta", Int.J.Mod.Phys. A 32 (2017) no.28n29, 1750172
- D. Meljanac, S. Meljanac, D. Pikutić, K. S. Gupta, "Twisted statistics and the structure of Lie-deformed Minkowski spaces", Phys.Rev. D 96 (2017) no.10, 105008
- D. Meljanac, S. Meljanac, D. Pikutić, "Families of vector-like deformed relativistic quantum phase spaces, twists and symmetries", Eur. Phys. J. C 77 (2017) 830
- J. Lukierski, D. Meljanac, S. Meljanac, D. Pikutić, M. Woronowicz, "Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach", Phys.Lett. B 777 (2018) 1–7
- Z. Škoda, S. Meljanac, "Hopf algebroid twists for deformation quantization of linear Poisson structures", arXiv:1605.01376.
- R. Horvat, C. P. Martin, J. Trampetić, J. You, "Equivalence and/or quantum duality of the non/supersymmetric noncommutative field theories related by the theta-exact Seiberg-Witten map", arXiv:1609.08065.
- M. Dimitrijević Ćirić, N. Konjik, A. Samsarov, "Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole", arXiv:1708.04066.
- S. Meljanac, S. Krešić-Jurić, D. Pikutić, "Generalization of Weyl realization to a class of Lie superalgebras", arXiv:1710.07494.
- D. Meljanac, S. Meljanac, S. Mignemi, D. Pikutić, R. Štrajn, "Twist for Snyder space" , arXiv:1711.02941.
- S. Meljanac, S. Mignemi, J. Trampetić, J. You, "UV/IR Mixing in Nonassociative Snyder phi^4 Theory", arXiv:1711.09639.
- R. Horvat, J. Trampetić, J. You, "Inferring type and scale of noncommutativity from the PTOLEMY experiment", arXiv:1711.09643.
- C. P. Martin, J. Trampetić, J. You, "Quantum noncommutative ABJM theory: first steps", arXiv:1711.09664.
- A. Samsarov, "Could LIV/noncommutativity alleviate the cosmological constant problem", arXiv:1711.10894.
External colaborators
- Saša Krešić-Jurić (University of Split)
- Z. Škoda (PMF, University of Zagreb)
- B. Guberina (RBI, Zagreb)
- Kumar S. Gupta (Theory Division, Saha Institute of Nuclear Physics, Kolkata, India)
- E. Harikumar (School of Physics, University of Hyderabad, Hyderabad, India)
- A. Pachol (Dipartimento di Matematica "Giuseppe Peano",Universita degli Studi di Torino)
- J.C. Wallet (LPT, Orsay, France)
- A. Quiroz (Instituto de Fisica, Universidade de Brasilia)
- A. Borowiec (Institute for Theoretical Physics, University of Wrocław, Wroclaw, Poland)
- S. Mignemi and R. Štrajn (Dipartimento di Matematica e Informatica, Universita di Cagliari, Cagliari, Italy)
- F. Toppan (CBPF, Rio de Janeiro, Brazil)
- B. Jurco (Mathematical Institute Prague, Czech Republic)
- J. Feinberg (University of Haifa, Israel)
- T. Prokopec (Utrecht University, Netherlands)
- G.B. Tupper (University of Cape Town, South Africa)
- I. Shapiro (University of Juiz de Fora, Brazil)
- N. Lorett (RBI, Zagreb)
- Goran Đorđević (University of Niš, Srbija)
Teaching
- Groups - PhD course, S. Meljanac
- Mathematical methods in physics 1&2 - graduate course, T. Jurić
- Electrodynamics – graduate course, D. Pikutić
- Supersymmetry – graduate course, J. You
Job openings
A call for a position of research associate is open.
Call description:
Research in theoretical and mathematical physics, in particular on
quantum gravity and quantum field theory with the emphasis on the use of
methods of noncommutative geometry and quantum symmetry.
The deadline is until March 3. For all informations please contact meljanac@irb.hr
There will be a call for a postdoc position within the project. It
will be announced in September/October 2016. The position is for 6
months and it starts on March 1, 2017. For more information contact
meljanac@irb.hr
Activities within the HRZZ-project and other
activities of the Group for Theoretical and Mathematical physics
(conferences, talks, visits)
September 2015:
- dr.sc. S. Meljanac visited prof.dr.sc. S. Krešić-Jurić in University of Split
- dr.sc. T. Jurić and dr.sc. J. You attended Corfu Summer
Institute: “Humboldt Kolleg Open Problems in Theoretical Physics: the
Issue of Quantum Space-Time” September 18 - 22, 2015 and “Workshop on
Noncommutative Field Theory
and Gravity” September 21 - 27, 2015
- dr.sc. J. You gave a talk entitled "Tadpole contribution to the noncommutative photon self-energy" within the “Workshop on Noncommutative Field Theory and Gravity”.
October 2015:
- dr.sc. S. Meljanac visited prof.dr.sc. S. Krešić-Jurić in University of Split
- dr.sc. S. Domazet visited prof. T. Prokopec in University of Utrecht
- dr.sc. J. You visited UCM, Madrid, Spain. Topic: Non-commutative field theory
- S. van Tongeren: “ Integrability in string theory and AdS/CFT”, seminar at RBI
- Group for Theoretical and Mathematical Physics (organizer: S. Meljanac) organized the "Symposium Vladimir J. Glaser" with three lectures:
- N. Bilić: “Introductory word about V. Glaser”
- P. Blanchard: “Selected pieces of V. Glaser's typical publications”
- J. Gracia-Bondia: A case study in Epstein-Glaser renormalization
November 2015:
- dr.sc. T. Jurić visited Laboratoire de Physique Theorique d'Orsay, Host: Prof. J. C. Wallet
- dr.sc. J. You visited Max Planck Institute, in Munich, Germany. Topic: Gauge/gravity duality
- Danijel Pikutić attended Bucharest PhD Training School: "Modern
Aspects of Quantum Field Theory and Applications", November 8 - 14, 2015
- dr.sc. N Bilić gave a talk entitled "Randall-Sundrum vs. holographic cosmology" within the "11th Vienna Central European Seminar on Particle Physics and Quantum Field Theory",
Vienna, 27-29 November 2015.
December 2015:
- prof. Kumar S. Gupta visited RBI. Topics: aspects of noncommutative geometry and black hole physics
- dr. A. Pachol visited RBI. Topic: NC metric
- dr. C. Martin visited RBI. Topic: NC field theory
February 2016:
March 2016:
- N. Bilić and S. Domazet attended "Rencontres de Moriond: Cosmology 2016", La Thuile, Italy, 19-26 March 2016
- N. Bilić had a poster entitled "Randall-Sundrum vs holographic cosmology"
- Professor Goran Đorđević visited RBI in March 6-9, 2016 for
collaboration on topic "Tacyon inflation in and AdS braneworld with
backreaction". Collaboration: N. Bilić, S. Domazet (Zagreb),
G. Đorđević, D. Dimitrijević, M. Milošević (Niš)
- dr.sc. T. Jurić visited the Laboratoire de Physique Theorique
d'Orsay (March 1-30). Host: Prof. J. C. Wallet. Topics: quantum field
theory, noncomutative geometry and spectral triples
April 2016:
- dr.sc. T. Jurić visited SISSA, Trieste (April 17-24). Host:
Prof. L. Dabrowski. Topics: quantum field theory, noncomutative geometry
and spectral triples. He give a talk entitled "Some examples of NCQFT
and NC metric"
March 2017:
April 2017:
May 2017:
- dr.sc. T. Jurić gave a talk entitled "Noncommutative Geometry and Physics" at the University of Brasilia, 11 May 2017
- dr.sc. A. Samsarov gave a talk entitled "Black hole quasinormal modes in twisted models of matter minimally coupled to gravity" at the University of Vienna, 30 May 2017
July 2017:
September 2017:
October 2017:
- dr.sc. R. Štrajn gave a talk entitled "Prostori Snyderovog tipa, zakretanje Poincareove algebre i zbrajanje impulsa" within the 10. znanstveni sastanak HFD-a, Baška, 11-13 October 2017
Contact info
Stjepan Meljanac
senior scientist, Head of Theoretical and mathematical physics group
Email: meljanac@irb.hr
Phone: +385 1 456 1121