127 citations · 660 across the 25 of their papers we have counts for
15 papers · 1 filter
The momentum-space conformal bootstrap in 2d
Marc Gillioz
A new bootstrap equation in 2-dimensional conformal field theory is derived starting from the momentum-space representation of the correlation functions. Since Wightman functions a…
Conformal field theory for particle physicists
Marc Gillioz
This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum…
Spinors and conformal correlators
Marc Gillioz
In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-k…
From Schwinger to Wightman: all conformal 3-point functions in momentum space
Marc Gillioz
All conformal correlation functions of 3 scalar primary operators are constructed in an axiomatic way, relying only on conformal symmetry and causality. The construction makes use…
Conformal partial waves in momentum space
Marc Gillioz
The decomposition of 4-point correlation functions into conformal partial waves is a central tool in the study of conformal field theory. We compute these partial waves for scalar…
A Scattering Amplitude in Conformal Field Theory
Marc Gillioz, Marco Meineri, Joao Penedones
We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as…
Convergent Momentum-Space OPE and Bootstrap Equations in Conformal Field Theory
Marc Gillioz, Xiaochuan Lu, Markus A. Luty +1
General principles of quantum field theory imply that there exists an operator product expansion (OPE) for Wightman functions in Minkowski momentum space that converges for arbitra…
Conformal 3-point functions and the Lorentzian OPE in momentum space
Marc Gillioz
In conformal field theory in Minkowski momentum space, the 3-point correlation functions of local operators are completely fixed by symmetry. Using Ward identities together with th…
Momentum-space conformal blocks on the light cone
Marc Gillioz
We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary…
Graviton Scattering and a Sum Rule for the c Anomaly in 4D CFT
Marc Gillioz, Xiaochuan Lu, Markus A. Luty
4D CFTs have a scale anomaly characterized by the coefficient , which appears as the coefficient of logarithmic terms in momentum space correlation functions of the energy-momen…
Spontaneous conformal symmetry breaking and a massless Wu-Yang monopole
Marc Gillioz
A formulation of supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum leve…
Scale Anomalies, States, and Rates in Conformal Field Theory
Marc Gillioz, Xiaochuan Lu, Markus A. Luty
This paper presents two methods to compute scale anomaly coefficients in conformal field theories (CFTs), such as the c anomaly in four dimensions, in terms of the CFT data. We fir…
The local renormalization of super-Yang-Mills theories
Marc Gillioz
We show how to consistently renormalize and super-Yang-Mills theories in flat space with a local (i.e. space-time-dependent) renormalization sca…
The a theorem for Gauge-Yukawa theories beyond Banks-Zaks
Oleg Antipin, Marc Gillioz, Esben Mølgaard +1
We investigate the a theorem for nonsupersymmetric gauge-Yukawa theories beyond the leading order in perturbation theory. The exploration is first performed in a model-independent…
Classical skyrmions in SU(N)/SO(N) cosets
Marc Gillioz
We construct the skyrmion solutions appearing in the coset spaces SU(N)/SO(N) for N > 2 and compute their classical mass. For N = 3, the third homotopy group pi_3(SU(3)/SO(3)) = Z_…