Peter Marquard
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View article: Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops Open
We renormalize the Gross-Neveu-Yukawa model with an O ( N ) symmetry to O ( ε 5 ) in d = 4 − ε dimensions and determine the anomalous dimensions of the fermion and scalar fields, β functions as well as the scalar field’s mass ope…
View article: Challenges for analytic calculations of the massive three-loop form factors
Challenges for analytic calculations of the massive three-loop form factors Open
The calculation of massive three-loop QCD form factors using in particular the large moments method has been successfully applied to quarkonic contributions in [1]. We give a brief review of the different steps of the calculation and repor…
View article: Towards QCD at Five Loops
Towards QCD at Five Loops Open
We report on recent progress on five-loop calculations in perturbative QCD. We discuss the computation of the perturbative quark condensate, decoupling in QCD, and the precision determination of charm and bottom quark masses. For the latte…
View article: Analytic results on the massive three-loop form factors: Quarkonic contributions
Analytic results on the massive three-loop form factors: Quarkonic contributions Open
The quarkonic contributions to the three-loop heavy-quark form factors for vector, axial-vector, scalar, and pseudoscalar currents are described by closed form difference equations for the expansion coefficients in the limit of small virtu…
View article: Analytic results on the massive three-loop form factors: quarkonic contributions
Analytic results on the massive three-loop form factors: quarkonic contributions Open
This repository contains the ancillary files to the publication "Analytic results on the massive three-loop form factors: quarkonic contributions" J. Blümlein , A. De Freitas, P. Marquard , N. Rana, and C. Schneider
View article: Analytic results on the massive three-loop form factors: quarkonic contributions
Analytic results on the massive three-loop form factors: quarkonic contributions Open
This repository contains the ancillary files to the publication "Analytic results on the massive three-loop form factors: quarkonic contributions" J. Blümlein , A. De Freitas, P. Marquard , N. Rana, and C. Schneider
View article: Analytic results on the massive three-loop form factors: Quarkonic contributions
Analytic results on the massive three-loop form factors: Quarkonic contributions Open
The quarkonic contributions to the three-loop heavy-quark form factors for vector, axial-vector, scalar, and pseudoscalar currents are described by closed form difference equations for the expansion coefficients in the limit of small virtu…
View article: The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1
The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1 Open
A bstract We calculate the massless unpolarized Wilson coefficients for deeply inelastic scattering for the structure functions F 2 ( x, Q 2 ) , F L ( x, Q 2 ) , xF 3 ( x, Q 2 ) in the $$ \overline{\textrm{MS}} $$ scheme and the polari…
View article: The 3-loop anomalous dimensions from off-shell operator matrix elements
The 3-loop anomalous dimensions from off-shell operator matrix elements Open
We report on the calculation of the three--loop polarized and unpolarized flavor non--singlet and the polarized singlet anomalous dimensions using massless off--shell operator matrix elements in a gauge--variant framework. We also reconsid…
View article: Gravity in binary systems at the fifth and sixth post-Newtonian order
Gravity in binary systems at the fifth and sixth post-Newtonian order Open
Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a …
View article: Logarithmic corrections to $a^2$ scaling in lattice QCD with Wilson and Ginsparg-Wilson quarks
Logarithmic corrections to $a^2$ scaling in lattice QCD with Wilson and Ginsparg-Wilson quarks Open
We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Limiting the discussion to contributions from t…
View article: Logarithmic corrections to $\\mathbf{a^2}$ scaling in lattice QCD with\n Wilson and Ginsparg-Wilson quarks
Logarithmic corrections to $\\mathbf{a^2}$ scaling in lattice QCD with\n Wilson and Ginsparg-Wilson quarks Open
We analyse the leading logarithmic corrections to the $a^2$ scaling of\nlattice artefacts in QCD, following the seminal work of Balog, Niedermayer and\nWeisz in the O(n) non-linear sigma model. Limiting the discussion to\ncontributions fro…
View article: Logarithmic corrections to $\mathbf{a^2}$ scaling in lattice QCD with Wilson and Ginsparg-Wilson quarks
Logarithmic corrections to $\mathbf{a^2}$ scaling in lattice QCD with Wilson and Ginsparg-Wilson quarks Open
We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Limiting the discussion to contributions from t…
View article: The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: Potential contributions
The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: Potential contributions Open
We calculate the potential contributions of the motion of binary mass systems in gravity to the fifth post-Newtonian order ab initio using coupling and velocity expansions within an effective field theory approach based on Feynman amplitud…
View article: The asymptotic approach to the continuum of lattice QCD spectral observables
The asymptotic approach to the continuum of lattice QCD spectral observables Open
We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (Möbius) Domain wall fermion (DWF), and overlap Dirac operators are considered in …
View article: Matching the heavy-quark fields in QCD and HQET at four loops
Matching the heavy-quark fields in QCD and HQET at four loops Open
The QCD/HQET matching coefficient for the heavy-quark field is calculated up to four loops. It must be finite; this requirement produces analytical results for some terms in the four-loop on-shell heavy-quark field renormalization constant…
View article: Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics Open
Elucidating the phase diagram of lattice gauge theories with fermionic matter in 2+1 dimensions has become a problem of considerable interest in recent years, motivated by physical problems ranging from chiral symmetry breaking in high-ene…
View article: Three loop QCD corrections to heavy quark form factors
Three loop QCD corrections to heavy quark form factors Open
Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated integra…
View article: Logarithmic Corrections to $a^2$ scaling in lattice Yang Mills theory
Logarithmic Corrections to $a^2$ scaling in lattice Yang Mills theory Open
We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Restricting our attention to contributions from…
View article: Heavy quark form factors at three loops
Heavy quark form factors at three loops Open
We present results for the heavy-fermionic corrections to the non-singlet heavy-quark form factors at three-loop order recently obtained.
View article: A refined machinery to calculate large moments from coupled systems of linear differential equations
A refined machinery to calculate large moments from coupled systems of linear differential equations Open
The large moment method can be used to compute a large number of moments of physical quantities that are described by coupled systems of linear differential equations. Besides these systems the algorithm requires a certain number of initia…
View article: The Gravitational Potential of Two Point Masses at Five Loops
The Gravitational Potential of Two Point Masses at Five Loops Open
Corrections to the Newtonian gravitational potential from general relativity can be derived in a combined expansion around flat spacetime and a small velocity of the interacting bodies. We present the calculation of the static five-loop co…
View article: Critical properties of the Néel–algebraic-spin-liquid transition
Critical properties of the Néel–algebraic-spin-liquid transition Open
The algebraic spin liquid is a long-sought-after phase of matter characterized by the absence of quasiparticle excitations, a low-energy description in terms of emergent Dirac fermions and gauge fields interacting according to (2+1)D quant…