202 citations · 1.3k across the 78 of their papers we have counts for
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The standard model in Wilson lattice gauge theory
Michael Creutz
The standard model maps smoothly onto a conventional Wilson lattice gauge formalism, including the parity violation of the weak interactions. The…
The Standard Model and the Lattice
Michael Creutz
The standard model maps smoothly onto a conventional lattice gauge formulation, including the parity violation of the weak interactions. The formu…
CP violation in QCD
Michael Creutz
Among the parameters of QCD is one that results in CP violation when non-vanishing. This is closely related to possible quark mass terms. It is conventionally interpreted in terms…
SU(3) breaking and the pseudo-scalar spectrum in multi-taste QCD
Michael Creutz
Using the Sigma model to explore the lowest order pseudo-scalar spectrum with SU(3) breaking, this talk considers an additional exact "taste" symmetry to mimic species doubling. Ro…
The lattice and quantized Yang-Mills theory
Michael Creutz
Quantized Yang-Mills fields lie at the heart of our understanding of the strong nuclear force. To understand the theory at low energies, we must work in the strong coupling regime.…
Pion masses in 2-flavor QCD with condensation
Sinya Aoki, Michael Creutz
We investigate the 2-flavor QCD with non-degenerate quark masses at low-energy, using the chiral perturbation theory including the meson and anomaly effects. For the fixed $m_d…
Gauge field topology and the hadron spectrum
Michael Creutz
Topologically non-trivial gauge field configurations are an interesting aspect of non-abelian gauge theories. These become particularly important upon quantizing the theory, especi…
Partial quenching and chiral symmetry breaking
Michael Creutz
Partially quenched chiral perturbation theory assumes that valence quarks propagating on gauge configurations prepared with sea quarks of different masses will form a chiral conden…
Pion masses in 2-flavor QCD with condensation
Sinya Aoki, Michael Creutz
We investigate some aspects of 2-flavor QCD with at low-energy, using the leading order chiral perturbation theory including anomaly effects. While nothing special h…
Chiral symmetry and lattice fermions
Michael Creutz
Lattice gauge theory and chiral perturbation theory are among the primary tools for understanding non-perturbative aspects of QCD. I review several subtle and sometimes controversi…
Emergent spin
Michael Creutz
Quantum mechanics and relativity in the continuum imply the well known spin-statistics connection. However for particles hopping on a lattice, there is no such constraint. If a lat…
Quark masses, the Dashen phase, and gauge field topology
Michael Creutz
The CP violating Dashen phase in QCD is predicted by chiral perturbation theory to occur when the up-down quark mass difference becomes sufficiently large at fixed down-quark mass.…
Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions
Taro Kimura, Michael Creutz, Tatsuhiro Misumi
We present a theoretical foundation for the index theorem in naive and minimally doubled lattice fermions by studying the spectral flow of a Hermitean version of Dirac operators. W…
Aoki Phases in Staggered-Wilson Fermions
Tatsuhiro Misumi, Michael Creutz, Taro Kimura +2
We investigate the parity-broken phase (Aoki phase) for staggered-Wilson fermions by using the Gross-Neveu model and the strong-coupling lattice QCD. In the both cases the gap equa…
Confinement, chiral symmetry, and the lattice
Michael Creutz
Two crucial properties of QCD, confinement and chiral symmetry breaking, cannot be understood within the context of conventional Feynman perturbation theory. Non-perturbative pheno…
Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms
Michael Creutz, Taro Kimura, Tatsuhiro Misumi
We investigate the parity-broken phase structure for staggered and naive fermions in the Gross-Neveu model as a toy model of QCD. We consider a generalized staggered Gross-Neveu mo…
Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions
Michael Creutz, Taro Kimura, Tatsuhiro Misumi
We present a theoretical foundation for the Index theorem in naive and minimally doubled lattice fermions by studying the spectral flow of a Hermitean version of Dirac operators. W…
Quark masses and strong CP violation
Michael Creutz
Two flavor QCD involves three independent mass parameters for which non-perturbative effects are not universal. This precludes matching lattice and perturbative results for non-deg…
Minimal doubling and point splitting
Michael Creutz
Minimally-doubled chiral fermions have the unusual property of a single local field creating two fermionic species. Spreading the field over hypercubes allows construction of combi…
Classification and Generalization of Minimal-doubling actions
Tatsuhiro Misumi, Michael Creutz, Taro Kimura
We propose a method to control the number of species of lattice fermions, which yields new classes of minimally doubled lattice fermions with one exact chiral symmetry and exact lo…
Minimally doubled fermions and their renormalization
Stefano Capitani, Michael Creutz, Johannes Weber +1
Minimally doubled fermions have been proposed as a strictly local discretization of the QCD quark action, which also preserves chiral symmetry at finite cut-off. We study the renor…
Anomalies, gauge field topology, and the lattice
Michael Creutz
Motivated by the connection between gauge field topology and the axial anomaly in fermion currents, I use the fourth power of the naive Dirac operator to define a local lattice mea…
Classification of Minimally Doubled Fermions
Michael Creutz, Tatsuhiro Misumi
We propose a method to control the number of species of lattice fermions which yields new classes of minimally doubled lattice fermions. We show it is possible to control the numbe…
Renormalization of minimally doubled fermions
Stefano Capitani, Michael Creutz, Johannes Weber +1
We investigate the renormalization properties of minimally doubled fermions, at one loop in perturbation theory. Our study is based on the two particular realizations of Borici-Cre…