Georg Bergner
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View article: A T2 × R2 roadmap to confinement in SU(2) Yang-Mills theory
A T2 × R2 roadmap to confinement in SU(2) Yang-Mills theory Open
A bstract We study the behaviour of SU(2) Yang-Mills fields on a T 2 × R 2 geometry where the two-torus is equipped with twisted boundary conditions. We monitor the evolution of the dynamics of the system as a function of the torus size l …
View article: Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice
Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice Open
We demonstrate that the orbifold lattice Hamiltonian -- an approach known for its efficiency in simulating SU($N$) Yang-Mills theory and QCD on digital quantum computers -- can reproduce the Kogut-Susskind Hamiltonian in a controlled limit…
View article: A $T_2 \times R^2$ roadmap to Confinement in SU(2) Yang-Mills theory
A $T_2 \times R^2$ roadmap to Confinement in SU(2) Yang-Mills theory Open
We study the behaviour of \SU{2} Yang-Mills fields on a $T_2\times R^2$ geometry where the two-torus is equipped with twisted boundary conditions. We monitor the evolution of the dynamics of the system as a function of the torus size $l_s$…
View article: Prospects for lattice field theory beyond the Standard Model
Prospects for lattice field theory beyond the Standard Model Open
This talk summarizes the explorations of theories beyond the Standard Model with lattice simulations. After a brief comment on the current status of the Standard Model extensions, the essential contribution made by numerical simulations in…
View article: Towards a discretization of supersymmetric QCD
Towards a discretization of supersymmetric QCD Open
We study possible discretizations of the action of supersymmetric QCD. Supersymmetry is broken on the lattice and improved lattice formulations should reduce the amount of fine-tuning required to recover it in the continuum limit. The disc…
View article: Fractional instantons and Confinement: first results on a $T_2\times R^2$ roadmap
Fractional instantons and Confinement: first results on a $T_2\times R^2$ roadmap Open
We report results obtained for SU(2) Yang-Mills theory on a four dimensional torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to int…
View article: Fractional instantons and Confinement: first results on a $T_2 \times R^2$ roadmap
Fractional instantons and Confinement: first results on a $T_2 \times R^2$ roadmap Open
We report results obtained for SU(2) Yang-Mills theory on a four dimensional torus with two directions much smaller than the other two. The small 2-torus is equipped with twisted boundary conditions. This construction provides a way to int…
View article: Towards the $\beta$ function of SU(2) with adjoint matter using Pauli-Villars fields
Towards the $\beta$ function of SU(2) with adjoint matter using Pauli-Villars fields Open
The family of SU(2) theories with matter transforming in the adjoint representation has attracted interest from many angles. The 2-flavour theory, known as Minimal Walking Technicolor, has a body of evidence pointing to it being in the con…
View article: Towards the $β$ function of SU(2) with adjoint matter using Pauli-Villars fields
Towards the $β$ function of SU(2) with adjoint matter using Pauli-Villars fields Open
The family of SU(2) theories with matter transforming in the adjoint representation has attracted interest from many angles. The two-flavour theory, known as Minimal Walking Technicolor, has a body of evidence pointing to it being in the c…
View article: SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
SU(2) gauge theory with one and two adjoint fermions towards the continuum limit Open
We provide an extended lattice study of the SU(2) gauge theory coupled to one Dirac fermion flavour ($N_{\mathrm{f}} =1$) transforming in the adjoint representation as the continuum limit is approached. This investigation is supplemented b…
View article: Investigating two-dimensional adjoint QCD on the lattice
Investigating two-dimensional adjoint QCD on the lattice Open
A bstract We present our investigations of SU( N ) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov …
View article: Toward QCD on quantum computer: orbifold lattice approach
Toward QCD on quantum computer: orbifold lattice approach Open
A bstract We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamilt…
View article: Wilson Loops and Random Matrices
Wilson Loops and Random Matrices Open
Linear confinement with Casimir scaling of the string tension in confining gauge theories is a consequence of a certain property of the Polyakov loop related to random matrices. This mechanism does not depend on the details of the theories…
View article: Investigating two-dimensional adjoint QCD on the lattice
Investigating two-dimensional adjoint QCD on the lattice Open
We present our investigations of SU($N$) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov loop, chir…
View article: Color confinement and random matrices. A random walk down group manifold toward Casimir scaling
Color confinement and random matrices. A random walk down group manifold toward Casimir scaling Open
A bstract We explain the microscopic origin of linear confinement potential with the Casimir scaling in generic confining gauge theories. In the low-temperature regime of confining gauge theories such as QCD, Polyakov lines are slowly vary…
View article: Identifying topological structures with adjoint filtering method
Identifying topological structures with adjoint filtering method Open
We present new investigations on the Adjoint Filtering Method (AFM), a proposal for filtering gauge configurations by using adjoint zero modes. This method relies on the existence of the Supersymmetric Zero Mode (SZM), whose density follow…
View article: Toward QCD on Quantum Computer: Orbifold Lattice Approach
Toward QCD on Quantum Computer: Orbifold Lattice Approach Open
We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamiltonian in t…
View article: Extracting Yang-Mills topological structures with adjoint modes
Extracting Yang-Mills topological structures with adjoint modes Open
We report on how adjoint zero modes can be used to filter out the topological structures of gauge configurations from the UV fluctuations. We will use the Adjoint Filtering Method (AFM) which relies on the existence of a particular Supersy…
View article: Glueballs in $N_f=1$ QCD
Glueballs in $N_f=1$ QCD Open
We present an evaluation of the glueball spectrum for configurations produced with $N_f=1$ dynamical fermions as a function of the $m_{\\rm PCAC}$ mass. We obtained masses of states that fall into the irreducible representations of the oct…
View article: Extracting Yang-Mills topological structures with adjoint modes
Extracting Yang-Mills topological structures with adjoint modes Open
We report on how adjoint zero modes can be used to filter out the topological structures of gauge configurations from the UV fluctuations. We will use the Adjoint Filtering Method (AFM) which relies on the existence of a particular Supersy…
View article: Glueballs in $N_f=1$ QCD
Glueballs in $N_f=1$ QCD Open
We present an evaluation of the glueball spectrum for configurations produced with $N_f=1$ dynamical fermions as a function of the $m_{\rm PCAC}$ mass. We obtained masses of states that fall into the irreducible representations of the octa…
View article: Color Confinement and Random Matrices -- A random walk down group manifold toward Casimir scaling --
Color Confinement and Random Matrices -- A random walk down group manifold toward Casimir scaling -- Open
We explain the microscopic origin of linear confinement potential with the Casimir scaling in generic confining gauge theories. In the low-temperature regime of confining gauge theories such as QCD, Polyakov lines are slowly varying Haar r…
View article: Partial deconfinement at strong coupling on the lattice
Partial deconfinement at strong coupling on the lattice Open
We provide evidence for partial deconfinement — the deconfinement of a SU(M) subgroup of the SU(N) gauge group — by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we ob…
View article: Baryonic states in $$\mathbf {{\mathcal {N}}=1}$$ supersymmetric SU(2) Yang–Mills theory on the lattice
Baryonic states in $$\mathbf {{\mathcal {N}}=1}$$ supersymmetric SU(2) Yang–Mills theory on the lattice Open
We extend our analysis of bound states in $${\mathcal {N}}=1$$ supersymmetric Yang–Mills theory by the consideration of baryonic operators, which are composed of three gluino fields. The corresponding states are similar to the baryons…
View article: Pseudoscalar-pole contributions to the muon $g-2$ at the physical point
Pseudoscalar-pole contributions to the muon $g-2$ at the physical point Open
Pseudoscalar-pole diagrams are an important component of estimates of the hadronic light-by-light (HLbL) contribution to the muon $g-2$. We report on our computation of the transition form factors $\mathcal{F}_{P \rightarrow \gamma^* \gamm…
View article: One flavour adjoint QCD with overlap fermions
One flavour adjoint QCD with overlap fermions Open
The infrared effective theory of adjoint QCD with one Dirac flavour is still under debate. The theory could be confining, conformal, or fermionic fields could become the lightest fields in the IR. The study of chiral symmetry seems to be i…
View article: Noether supercurrent operator mixing from lattice perturbation theory
Noether supercurrent operator mixing from lattice perturbation theory Open
In this work we present perturbative results for the renormalization of the supercurrent operator, $S_\\mu$, in ${\\cal N} =1$ Supersymmetric Yang-Mills theory. At the quantum level, this operator mixes with both gauge invariant and noninv…