arXiv subjects

Nikolas Schlage

Publications and source records attributed to Nikolas Schlage.

4 recordsLinked to original sources

arXiv2023

Exploring a new approach to Hadronic Parity Violation from Lattice QCD

The long-range, parity-odd nucleon interaction generated by single pion exchange is captured in the parity-odd pion-nucleon coupling $h^1_π$. Its calculation in lattice QCD requires the evaluation of 4-quark operator nucleon 3-point functions. We investigate a new numerical approach to compute $h^1_π$ based on nucleon matrix elements of parity-even 4-quark operators and related to the parity-violating electro-weak theory by PCAC and chiral perturbation theory. This study is performed with 2+1+1 dynamical flavors of twisted mass fermions at pion mass $m_π \approx 260\,\text{MeV}$ in a lattice box of $L \approx 3 \,\text{fm} $ and with a lattice spacing of $a \approx 0.091 \,\text{fm}$. From a calculation excluding fermion loop diagrams we find a bare coupling of $h^1_π= 8.08 \,(98) \cdot 10^{-7}$.

hep-lat↗

arXiv2023

Hadronic Parity Violation from Twisted Mass Lattice QCD

We present results for an exploratory lattice calculation of the leading parity-violating pion-nucleon coupling $h_π^1$. Based on the PCAC relation we use a parity-conserving Lagrangian and focus on the techniques to determine the nucleon matrix elements of the effective 4-quark operators. For our study we employ an ensemble of twisted mass fermions with $260$ MeV pion mass. Barring mixing with lower-dimensional operators and renormalization at this stage, we discuss our estimate for $h_π^1$.

hep-lat↗

arXiv2021

Hadronic Parity Violation from 4-quark Interactions

We present an exploratory investigation of the parity odd $ΔI = 1$ pion-nucleon coupling $h_π^1$ from lattice QCD. Based on the PCAC relation, we study the parity-conserving effective Hamiltonian and extract the coupling by determining the nucleon mass splitting arising from the effective 4-quark interactions using the Feynman-Hellmann theorem. We present preliminary results of the mass shift for a $32^3 \times 64$ ensemble of $N_f = 2 + 1 + 1$ twisted mass fermions at pion mass $260$ MeV and lattice spacing $a = 0.097$ fm.

hep-lat↗

arXiv2021

Relativistic $N$-particle energy shift in finite volume

We present a general method for deriving the energy shift of an interacting system of $N$ spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the scattering amplitudes. Relativistic corrections are explicitly included up to a given order in the $1/L$ expansion. We apply this method to obtain the ground state of $N$ particles, and the first excited state of two and three particles to order $L^{-6}$ in terms of the threshold parameters of the two- and three-particle relativistic scattering amplitudes. We use these expressions to analyze the $N$-particle ground state energy shift in the complex $φ^4$ theory.

hep-lat↗