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Nick Evans Tim Morris James Drummond Andy O’Bannon Kostas Skenderis Marika Taylor Oscar Dias Andreas Schmitt Carlos Mafra David Turton Masanori Hanada Ines Aniceto
Formal Theory James Drummond QCD Amplitudes Strings Quantum - - PowerPoint PPT Presentation
Formal Theory James Drummond QCD Amplitudes Strings Quantum - - PowerPoint PPT Presentation
Formal Theory James Drummond QCD Amplitudes Strings Quantum Gravity Black holes Gauge/gravity duality Marika Kostas Taylor Skenderis Nick Evans Tim Morris Masanori Hanada Carlos Oscar Andreas Mafra Dias Schmitt
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Will we see something from the LHC to alter our view
- f the Standard Model of Particle Physics?
What about the standard model of Cosmology? What are formal theorists up to? Answer: what they should be doing! * Understanding field theory, the structure that underlies the SM * Understanding strongly coupled systems, e.g. QCD * Thinking about (quantum) gravity – black holes – information? * Cosmology – inflation – dark energy?
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Quantum Field Theory
Weak coupling: perturbative approaches Scattering amplitudes – cross-sections What does Standard Model predict?
What about strongly coupled systems? Gravity? Is QFT part of a bigger picture?
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QCD
Quarks Gluon mediated interactions SU(3) gauge invariance
High energies: Asymptotic freedom Low energies: Confinement
Dynamical mass generation m = 3 m
p u,d
/
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Quantum Gravity
R is a function of g and 2 derivatives
mn
This is a non-renormalizable theory…
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New physics such as the string length sets in at the Planck scale (or before) Asymptotic safety – a non-perturbative UV fixed point emerges? Can such a theory need address dark energy problem…?
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String Theory
Fundamental strings Basic property is Tension A candidate framework to include gauge theory and gravity
We need: supersymmetry 9+1 dimensions membranes graviton
BUT.. Only understood perturbatively… and not directly linked to the SM… suggests string theory
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Black Holes
General Relativity predicts black holes… ‘tHooft argued that any information dropped into a black hole must be
- lost (breaking QM)
- spread over the surface (S ~ A)
If the surface can contain all the information of the contents the real theory of the Universe must be 2 + 1 dimensional! HOLOGRAPHY Pure states dropped into a black hole are re- emitted as thermal Hawking radiation…
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Gauge/Gravity Duality
We now know this IS a string theory but in higher dimensions than QCD! UV IR Couplings such as g or Tr F^2 are scalar fields in this bulk… Remarkably those fields are weakly coupled in some cases when the gauge theory is strongly coupled… String theory/quantum gravity are holographically emergent phenomena… N=4 SYM = IIB strings on AdS_5
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Gauge/Gravity Duality Applications
- QCD confinement, mass generation, spectrum
- Deep inelastic scattering, hadronization…
- Quark gluon plasma – heavy ion collisions…
- Inflation
- Strongly coupled condensed matter – graphene, high Tc
super conductors, Kondo effect..
- Models potentially exactly solvable for finite coupling
(e.g. N=4) . Analogue of QCD spectrum.
- Duality of amplitudes/Wilson loops.
- Non-perturbative definition of strings
- Black holes - information
- New window on quantum gravity from CFT
- The Big Bang singularity - inflation
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New formulations of QFT?
New symmetries On-shell methods Analytic structure of S-matrix Revisiting UV of gravity Resumming perturbation theory
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Nick Evans Tim Morris James Drummond Andy O’Bannon Kostas Skenderis Marika Taylor Oscar Dias Andreas Schmitt Carlos Mafra David Turton Masanori Hanada Ines Aniceto
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Holography ERG QCD, BSM AS & QG Amplitudes, CFT, Holography & CM Integrability
Fundamentals of strings/holography cosmology Black holes, holography Black holes QCD & neutron stars CFT & string amplitudes Black holes and AdS/CFT
Numerical AdS/CFT
Integrability and resurgence
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