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Conformal 3-Point Functions and the Lorentzian OPE in Momentum Space

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Variational Monte Carlo investigation of SU(N) Heisenberg chains

Frédéric Mila, Pierre Marcel Nataf, Jérôme Dufour

Motivated by recent experimental progress in the context of ultracold multicolor fermionic atoms in optical lattices, we have investigated the properties of the SU (N) Heisenberg chain with totally antisymmetric irreducible representations, the effective m ...

2015

Perturbative conformal symmetry and dilaton

Alexander Monin, Frédéric Gretsch

Spontaneous symmetry breaking with necessity leads to the presence of Goldstone field(s). In the case of scale or conformal symmetries the corresponding Goldstone mode is called the dilaton. Consistently coupling a system to the dilaton poses certain diffi ...

Amer Physical Soc2015

The alpha-theorem and the asymptotics of 4D quantum field theory

Riccardo Rattazzi

We study the possible IR and UV asymptotics of 4D Lorentz invariant unitary quantum field theory. Our main tool is a generalization of the Komargodski-Schwimmer proof for the alpha-theorem. We use this to rule out a large class of renormalization group flo ...

Springer2013

Operator product expansion convergence in conformal field theory

Riccardo Rattazzi, Duccio Pappadopulo, Johnny Espin Pais

We clarify questions related to the convergence of the operator product expansion and conformal block decomposition in unitary conformal field theories (for any number of spacetime dimensions). In particular, we explain why these expansions are convergent ...

Amer Physical Soc2012

A New Method to Explore Conformal Field Theories in Any Dimension

Alessandro Vichi

The thesis represents an investigation into Conformal Field Theories (CFT's) in arbitrary dimensions. We propose an innovative method to extract informations about CFT's in a quantitative way. Studying the crossing symmetry of the four point function of sc ...

EPFL2011

Spinning conformal correlators

We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an index-free notation where tensors are encoded by polynomials in auxiliary polarization vectors. The ...

Springer2011

A natural language for AdS/CFT correlators

We provide dramatic evidence that 'Mellin space' is the natural home for correlation functions in CFTs with weakly coupled bulk duals. In Mellin space, CFT correlators have poles corresponding to an OPE decomposition into 'left' and 'right' sub-correlators ...

Springer2011

Spinning conformal blocks

For conformal field theories in arbitrary dimensions, we introduce a method to derive the conformal blocks corresponding to the exchange of a traceless symmetric tensor appearing in four point functions of operators with spin. Using the embedding space for ...

Springer2011

Collisional damping of dipole oscillations in a trapped polariton gas

Benoît Marie Joseph Deveaud, François Morier-Genoud, Marcia Portella Oberli, Barbara Pietka, Taofiq Paraïso, Roland Cerna

We study the relaxation dynamics of a trapped polariton gas in the nonlinear regime. We excite the three lowest energy states of the system and observe the time evolution of the polariton density in the momentum space. At a low excitation power, the dynami ...

2011

Deep inelastic scattering in conformal QCD

We consider the Regge limit of a CFT correlation function of two vector and two scalar operators, as appropriate to study small-x deep inelastic scattering in N = 4 SYM or in QCD assuming approximate conformal symmetry. After clarifying the nature of the R ...

Springer2010