Talks

11293 - 11304 of 19958 Results

Towards construction of a Wightman QFT in four dimensions

Raimar Wulkenhaar University of Münster

August 19, 2014

PIRSA:14080037
14/15 PSI - Quantum Mechanics 1

Agata Branczyk IBM (Canada)

August 19, 2014

PIRSA:14080024
14/15 PSI - Special Functions 1

Dan Wohns Perimeter Institute for Theoretical Physics

August 19, 2014

PIRSA:14080020
14/15 PSI - Classical Mechanics 4

David Kubiznak Charles University

August 15, 2014

PIRSA:14080018
14/15 PSI - Complex Analysis 4

Tibra Ali Perimeter Institute for Theoretical Physics

August 15, 2014

PIRSA:14080012
14/15 PSI - Classical Mechanics 3

David Kubiznak Charles University

August 14, 2014

PIRSA:14080016
14/15 PSI - Complex Analysis 3

Tibra Ali Perimeter Institute for Theoretical Physics

August 14, 2014

PIRSA:14080011
CMB anomalies from primordial gravitational waves

Yi Wang Hong Kong University of Science and Technology

August 13, 2014

PIRSA:14080019

Astrophysics
14/15 PSI - Classical Mechanics 2

David Kubiznak Charles University

August 13, 2014

PIRSA:14080014
14/15 PSI - Complex Analysis 2

Tibra Ali Perimeter Institute for Theoretical Physics

August 13, 2014

PIRSA:14080010
Reconstructing quantum states from local data

Isaac Kim University of California, Davis

August 12, 2014

PIRSA:14080007

Condensed Matter
14/15 PSI - Classic Mechanics 1

David Kubiznak Charles University

August 12, 2014

PIRSA:14080009

Towards construction of a Wightman QFT in four dimensions

Raimar Wulkenhaar University of Münster

August 19, 2014

PIRSA:14080037

We prove that the $\lambda\phi^4_4$ quantum field theory on noncommutative Moyal space is, in the limit of infinite noncommutativity, exactly solvable in terms of the solution of a non-linear integral equation. The proof involves matrix model techniques which might be relevant for 2D quantum gravity and its generalisation to coloured tensor models of rank $\geq 3$. Surprisingly, our limit describes Schwinger functions of a Euclidean quantum field theory on standard $\mathbb{R}^4$ which satisfy the easy Osterwalder-Schrader axioms boundedness, covariance and symmetry. We prove that the decisive reflection positivity axiom is, for the 2-point function, equivalent to the question whether or not the solution of the integral equation is a Stieltjes function. The numerical solution of the integral equation leaves no doubt that this is true for coupling constants $\lambda\in[-0.39,0]$.
14/15 PSI - Quantum Mechanics 1

Agata Branczyk IBM (Canada)

August 19, 2014

PIRSA:14080024
14/15 PSI - Special Functions 1

Dan Wohns Perimeter Institute for Theoretical Physics

August 19, 2014

PIRSA:14080020
14/15 PSI - Classical Mechanics 4

David Kubiznak Charles University

August 15, 2014

PIRSA:14080018
14/15 PSI - Complex Analysis 4

Tibra Ali Perimeter Institute for Theoretical Physics

August 15, 2014

PIRSA:14080012
14/15 PSI - Classical Mechanics 3

David Kubiznak Charles University

August 14, 2014

PIRSA:14080016
14/15 PSI - Complex Analysis 3

Tibra Ali Perimeter Institute for Theoretical Physics

August 14, 2014

PIRSA:14080011
CMB anomalies from primordial gravitational waves

Yi Wang Hong Kong University of Science and Technology

August 13, 2014

PIRSA:14080019

Astrophysics

We relate CMB anomalies and the recent observational evidence of primordial gravitational
waves. Two aspects are investigated:

(a) Several anomalies are spotted on the low ell temperature map of the WMAP and Planck
experiments. However, those anomalies disappear at high ell. We propose that those low ell
temperature anomalies may come from nearly scale invariant anomalies of the tensor sector.
Those anomalies on the temperature map naturally decay towards small scales, characterized
by the tensor-to-temperature radiation transfer function.

(b) The anomalies introduced by the gravitational waves discovery. Strong tension is noticed
between the BICEP2 and Planck data. We study in detail how blue tilt of the tensor spectrum
reconciles the tension between those datasets.
14/15 PSI - Classical Mechanics 2

David Kubiznak Charles University

August 13, 2014

PIRSA:14080014
14/15 PSI - Complex Analysis 2

Tibra Ali Perimeter Institute for Theoretical Physics

August 13, 2014

PIRSA:14080010
Reconstructing quantum states from local data

Isaac Kim University of California, Davis

August 12, 2014

PIRSA:14080007

Condensed Matter

We consider the problem of reconstructing global quantum states from local data. Because the reconstruction problem has many solutions in general, we consider the reconstructed state of maximum global entropy consistent with the local data. We show that unique ground states of local Hamiltonians are exactly reconstructed as the maximal entropy state. More generally, we show that if the state in question is a ground state of a local Hamiltonian with a degenerate space of locally indistinguishable ground states, then the maximal entropy state is close to the ground state projector. We also show that local reconstruction is possible for thermal states of local Hamiltonians. Finally, we discuss a procedure to certify that the reconstructed state is close to the true global state. We call the entropy of our reconstructed maximum entropy state the "reconstruction entropy", and we discuss its relation to emergent geometry in the context of holographic duality. This is a joint work with Brian Swingle.
14/15 PSI - Classic Mechanics 1

David Kubiznak Charles University

August 12, 2014

PIRSA:14080009

Title	Date	Collection	Type	Info
Towards construction of a Wightman QFT in four dimensions	2014‑08‑19	Quantum Gravity	Scientific Series	View details
14/15 PSI - Quantum Mechanics 1	2014‑08‑19	14/15 PSI - Front End	Course	View details
14/15 PSI - Special Functions 1	2014‑08‑19	14/15 PSI - Front End	Course	View details
14/15 PSI - Classical Mechanics 4	2014‑08‑15	14/15 PSI - Front End	Course	View details
14/15 PSI - Complex Analysis 4	2014‑08‑15	14/15 PSI - Front End	Other	View details
14/15 PSI - Classical Mechanics 3	2014‑08‑14	14/15 PSI - Front End	Course	View details
14/15 PSI - Complex Analysis 3	2014‑08‑14	14/15 PSI - Front End	Other	View details
CMB anomalies from primordial gravitational waves	2014‑08‑13		Scientific Series	View details
14/15 PSI - Classical Mechanics 2	2014‑08‑13	14/15 PSI - Front End	Course	View details
14/15 PSI - Complex Analysis 2	2014‑08‑13	14/15 PSI - Front End	Other	View details
Reconstructing quantum states from local data	2014‑08‑12	Quantum Matter	Scientific Series	View details
14/15 PSI - Classic Mechanics 1	2014‑08‑12	14/15 PSI - Front End	Course	View details

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Format results

Towards construction of a Wightman QFT in four dimensions

14/15 PSI - Quantum Mechanics 1

14/15 PSI - Special Functions 1

14/15 PSI - Classical Mechanics 4

14/15 PSI - Complex Analysis 4

14/15 PSI - Classical Mechanics 3

14/15 PSI - Complex Analysis 3

CMB anomalies from primordial gravitational waves

14/15 PSI - Classical Mechanics 2

14/15 PSI - Complex Analysis 2

Reconstructing quantum states from local data

14/15 PSI - Classic Mechanics 1

Towards construction of a Wightman QFT in four dimensions

14/15 PSI - Quantum Mechanics 1

14/15 PSI - Special Functions 1

14/15 PSI - Classical Mechanics 4

14/15 PSI - Complex Analysis 4

14/15 PSI - Classical Mechanics 3

14/15 PSI - Complex Analysis 3

CMB anomalies from primordial gravitational waves

14/15 PSI - Classical Mechanics 2

14/15 PSI - Complex Analysis 2

Reconstructing quantum states from local data

14/15 PSI - Classic Mechanics 1