Málstofa í stærðfræði
Fyrirlesari: Jerzy Lukierski, Institute for Theoretical Physics, University of Wroclaw
Titill: Quantum Gravity – a brief conceptual summary
Staðsetning: V-156, VRII
Tími: Fimmtudagur 4. sept, frá 15:00 til 16:00.
Ágrip:
After short historical overview we describe the difficulties with
application of standard QFT methods in quantum gravity (QG). The
incompatibility of QG with the use of classical continuous space-time required conceptually new approach. We present briefly three proposals: loop quantum gravity (LQG), the field-theoretic framework on noncommutative space-time and QG models formulated on discretized (triangularized) space-time. We evaluate these models as realizing expected important properties of QG: background independence, consistent quantum diffeomorphisms, noncommutative or discrete structure of space-time at very short distances, finite/renormalizable QG corrections. We only briefly outline an important issue of embedding QG into larger geometric and dynamical frameworks (e.g. supergravity, (super)strings, p-branes, M-theory), with the aim to achieve full unification of all fundamental interactions. [Based on arXiv:1404:6797[hep-th]].
Math Colloquium
Speaker: Jerzy Lukierski, Institute for Theoretical Physics, University of Wroclaw
Title: Quantum Gravity – a brief conceptual summary
Location: V-156, VRII
Time: Thursday Sept. 4th, at 15:00-16:00.
Abstract:
After short historical overview we describe the difficulties with
application of standard QFT methods in quantum gravity (QG). The
incompatibility of QG with the use of classical continuous space-time required conceptually new approach. We present briefly three proposals: loop quantum gravity (LQG), the field-theoretic framework on noncommutative space-time and QG models formulated on discretized (triangularized) space-time. We evaluate these models as realizing expected important properties of QG: background independence, consistent quantum diffeomorphisms, noncommutative or discrete structure of space-time at very short distances, finite/renormalizable QG corrections. We only briefly outline an important issue of embedding QG into larger geometric and dynamical frameworks (e.g. supergravity, (super)strings, p-branes, M-theory), with the aim to achieve full unification of all fundamental interactions. [Based on arXiv:1404:6797[hep-th]].