Conveners
New Developments in Quantum Field Theory
- Yu-tin Huang (National Taiwan University)
New Developments in Quantum Field Theory
- Yang Zhang (USTC)
New Developments in Quantum Field Theory
- Jacob Bourjaily (Penn State University)
New Developments in Quantum Field Theory
- Yang Zhang (USTC)
New Developments in Quantum Field Theory
- Yu-tin Huang (National Taiwan University)
We introduce improved Leinartas algorithm, to simplify multivariate rational functions via partial fraction decomposition. We use this algorithm to simplify IBP reduction coefficients, dramatically shorten the size of the coefficients. This algorithm can also be used to simply rational functions in other fields of theoretical physics.
We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a N = 2 large N Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random ensemble. Taking inspiration from analyses of lower dimensional SYK like models we demonstrate that the theory flows to a strongly coupled superconformal fixed point in...
A wealth of physical information may be inferred from the singularities of scattering amplitudes. For the simplest interacting gauge theory, these singularities have been found to be encoded in beautiful mathematical objects known as cluster algebras. In this talk, I present evidence that cluster algebras may underlie the analytic structure of general quantum field theories. In particular, I...
We consider scattering amplitudes in N=4 super Yang-Mills theory. Apart from any physics motivation about the exponentiation of infrared divergences, purely from the positive geometry of the loop Amplituhedron, we find that the logarithm of the amplitude appears as a natural object to look at. Thinking about `negative geometries' gives a useful decomposition of the latter, different from usual...
We analytically study the Fermi-gas formulation of sphere correlation functions of the Coulomb branch operators for 3d $\mathcal{N} = 4$ ADHM theory with a gauge group $U(N)$, an adjoint hypermultiplet and $l$ hypermultiplets which can describe a stack of $N$ M2-branes at $A_{l−1}$ singularities. We find that the leading coefficients of the perturbative grand canonical correlation functions...
In the past decade our understanding of scattering amplitudes in maximally supersymmetric Yang Mills theory has increased dramatically. This enhanced understanding has led to a formulation of color-ordered scattering amplitudes as logarithmic differential forms on particular geometries, called positive geometries. In particular, the momentum amplituhedron is the geometry governing the...
We always have the freedom to reparametrize any QFT without affecting the underlying physics, but this freedom is not always manifest in the way we write it down. Vilkovisky demonstrated that the standard definition of the effective action yields different off-shell results for different parametrizations of the same theory. This issue is neatly resolved through the covariant Vilkovisky-De Witt...
Local exact solutions for the scalar field theory, both for the classical and the quantum case have been recently obtained [1{3] by a technique devised by Bender, Savage and Milton [4]. This permits to derive the set of Dyson-Schwinger equations in a fully differential form. These methods can be applied also to the exact solution of the Yang-Mills theory [5] and corresponding confinement...
I will review recent developments in N=4 Yang-Mills amplitudes.
In this talk, I will review some of the recent developments in applying Quantum Field Theory ideas and scattering amplitudes technology to the study of classical gravitational observables that are relevant to e.g. the LIGO/VIRGO detectors. I will mostly focus on a particular framework, originally devised by Kosower, Maybee, and O'Connell, to extract classical physics from quantum observables....
We first propose a general method to construct the complete set of on-shell operator bases involving massive particles with any spins. To incorporate the non-abelian little groups of massive particles, the on-shell scattering amplitude basis should be factorized into two parts: one is charged, and the other one is neutral under little groups of massive particles. The complete set of these two...
All existing quantum field theories are formulated in terms of functions defined in the Minkowski space and possess the values from a set of operators. Such functions satisfy the equations which conserve their form during the Lorentz transform. As a result of these two points, within such theories, it is impossible to construct an operator which could change the coordinate dependence of the...
Positivity bounds are constraints on the Wilson coefficients of an effective field theory that can be extracted from fundamental properties of the S-matrix of the UV theory, notebly the dispersion relation. We show that a new set of powerful bounds can be obtained by using the full crossing symmetry. In contradistinction to the previous s-u symmetric bounds, these new bounds can be applied to...
Working in a slice of AdS truncated by branes, it's well known that the propagator contains a tower of poles which correspond to narrow particles---KK modes. Does this picture of "a tower of narrow modes" hold to arbitrarily high energies when interactions are present? Generically these narrow modes will get a finite width which can grow with KK number, possibly becoming as large as the mass...
