9 problems

Let $M_n^{(L)}$ denote the planar $n$-point scattering amplitude of maximally supersymmetric ${N}=4$ Yang–Mills theory at $L$ loops, normalized by the corresponding tree amplitude.…

Perturbative quantum gravity is considered as a theory whose loop expansion requires higher-derivative counterterms because it is non-renormalizable by power-counting. At one loop,…

Møller extension conjecture. The map ${\cal R}_0$ extends to a Møller $*$-isomorphism

Let $\eta$ be a profile, let $\mathrm{v}$ be a four-velocity, let $C\in\{F^{\mu\nu},j^\mu\}$ be an observable field, and let $\Psi,\Psi'\in\mathcal{D}_2$. The BRST charge is denote…

Let $\boldsymbol{\eta}$ be a profile, let $C\in\mathcal{F}$ be a polynomial in fields and their derivatives, and let $\Psi,\Psi'\in\mathcal{D}_2$. A renormalization scheme for time…

In perturbation theory for the supersymmetric Wess–Zumino model, let the renormalization function be the function whose perturbative series is being considered, and let finite-orde…

The renormalized perturbative $S$-matrix is a formal perturbative object in quantum field theory, and the Schrödinger functional differential equation is understood with its right-…

All-orders factorization conjecture. This relation holds to all orders of perturbation theory, and a similar relation holds for states containing an arbitrary number of particles.…

Let $a_i=1+n_i\varepsilon$ for positive integers $n_i$, with $1\leq i\leq 5$, and let $D=4-2\varepsilon$. Consider the coefficients in the Taylor expansion with respect to…