John R. Hiller

Bio: John R. Hiller is an academic researcher from University of Minnesota. The author has contributed to research in topics: Quantization (physics) & Quantum field theory. The author has an hindex of 24, co-authored 129 publications receiving 1740 citations. Previous affiliations of John R. Hiller include University of Maryland, College Park & University of Idaho.

Universal properties of the electromagnetic interactions of spin-one systems.

Abstract: The dominance of helicity-conserving amplitudes in gauge theory is shown to imply universal ratios for the charge, magnetic, and quadrupole form factors of spin-one bound states: {ital G}{sub {ital C}}({ital Q}{sup 2}):{ital G}{sub {ital M}}({ital Q}{sup 2}):{ital G}{sub {ital Q}}({ital Q}{sup 2})=(1{minus}2/3{eta}):2:{minus}1. These ratios hold at large spacelike or timelike momentum transfer in the case of composite systems such as the {rho} or deuteron in QCD. They are also the ratios predicted for the electromagnetic couplings of the {ital W}{sup {plus minus}} for all {ital Q}{sup 2} in the standard model at the tree level. In the case of the deuteron, the leading-twist perturbative QCD predictions are valid at {ital Q}{sup 2}={vert bar}{ital q}{sup 2}1{much gt}{Lambda}{sub QCD}{ital M{ital d}}, but do not require the kinematical ratio {eta}={ital Q}{sup 2}/4{ital M}{sub {ital d}}{sup 2} to be large. These results provide new all-angle predictions for the leading power behavior of the tensor polarization {ital T}{sub 20}({ital Q}{sup 2},{theta}) and the invariant ratio {ital B}({ital Q}{sup 2})/{ital A}({ital Q}{sup 2}). We also use a generalization of the Drell-Hearn-Gerasimov sum rule to show that the magnetic and quadrupole moments of any composite spin-one system take on the canonical values {mu}={ital e}/{ital M} and {italmore » Q}={minus}{ital e}/{ital M}{sup 2} in the strong binding limit of the zero bound-state radius or infinite excitation energy. This allows new empirical constraints on the possible internal structure of the {ital Z}{sup 0} and {ital W}{sup {plus minus}} vector bosons. Simple gauge-invariant and -covariant models and null zone theory are used to illustrate these results. Complications that arise when the Breit frame is used for form-factor analyses are also pointed out.« less

New Techniques for Evaluating Parity Conserving and Parity Violating Contact Interactions

Abstract: The accurate evaluation of expectation values such as ${I}_{1}=〈\ensuremath{\psi}|\ensuremath{\delta}({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}_{1})|\ensuremath{\psi}〉$ and ${I}_{12}=〈\ensuremath{\psi}|\ensuremath{\delta}({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}_{1}\ensuremath{-}{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}_{2})|\ensuremath{\psi}〉$, where $\ensuremath{\psi}=\ensuremath{\psi}({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}_{1}, {\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}_{2}, \dots{}{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}_{N})$ is an eigenfunction of a Hamiltonian $H$ is of interest for a variety of problems in atomic physics. Transformations are found to new forms ${I}_{1}^{\ensuremath{'}}$ and ${I}_{12}^{\ensuremath{'}}$, which are likely to give considerably more accurate values when, as is usually the case, only approximate wave functions are available. A successful test of the method is presented for the case of electron-electron and electron-nucleus contact interactions in helium. We give some identities which may be similarly useful in the evaluation of off-diagonal matrix elements of relativistic operators such as ${\ensuremath{\gamma}}_{5}\ensuremath{\delta}({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}_{1})$, which arise from the parity-violating part of the neutral-current interaction and are important in the calculation of parity mixing in atoms.

Covariant structure of light-front wave functions and the behavior of hadronic form factors

Abstract: We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector ${\ensuremath{\omega}}^{\ensuremath{\mu}}.$ The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituents ${M}_{0}^{2}=(\ensuremath{\sum}{k}^{\ensuremath{\mu}}{)}^{2}$ and the light-cone momentum fractions ${x}_{i}{=k}_{i}\ensuremath{\cdot}\ensuremath{\omega}/p\ensuremath{\cdot}\ensuremath{\omega}$ multiplied by invariants constructed from the spin matrices, polarization vectors, and ${\ensuremath{\omega}}^{\ensuremath{\mu}}.$ These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons. They correspond to the spin locking of a quark with the spin of its parent nucleon, together with a positive-energy projection constraint. These extra constraints lead to an anomalous dependence of form factors on Q rather than ${Q}^{2}.$ In contrast, the dependence of LFWFs on ${M}_{0}^{2}$ implies that hadron form factors are analytic functions of ${Q}^{2}$ in agreement with dispersion theory and perturbative QCD. We show that a model incorporating the leading-twist perturbative QCD prediction is consistent with recent data for the ratio of proton Pauli and Dirac form factors.

Single-Spin Polarization Effects and the Determination of Timelike Proton Form Factors

Abstract: We show that measurements of the proton's polarization in e{sup +}e{sup -} {yields} p{bar p} strongly discriminate between analytic forms of models which fit the proton form factors in the spacelike region. In particular, the single-spin asymmetry normal to the scattering plane measures the relative phase difference between the timelike G{sub E} and G{sub M} form factors. The expected proton polarization in the timelike region is large, of order of several tens of percent.

Light-front quantum chromodynamics. A framework for the analysis of hadron physics

Abstract: An outstanding goal of physics is to find solutions that describe hadrons in the theory of strong interactions, Quantum Chromodynamics (QCD). For this goal, the light-front Hamiltonian formulation of QCD (LFQCD) is a complementary approach to the well-established lattice gauge method. LFQCD offers access to the hadrons' nonperturbative quark and gluon amplitudes, which are directly testable in experiments at existing and future facilities. We present an overview of the promises and challenges of LFQCD in the context of unsolved issues in QCD that require broadened and accelerated investigation. We identify specific goals of this approach and address its quantifiable uncertainties. © 2014 Elsevier B.V.

Quantum Theory of Fields

Abstract: To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject But it is a very good and most useful book The original was written in German and appeared in 1942 This is a translation with some minor changes A few remarks have been added, concerning meson theory and nuclear forces, also footnotes referring to modern work in this field, and finally an appendix on the symmetrization of the energy momentum tensor according to Belinfante Quantum Theory of Fields Prof Gregor Wentzel Translated from the German by Charlotte Houtermans and J M Jauch Pp ix + 224, (New York and London: Interscience Publishers, Inc, 1949) 36s

Renormalization of the Abelian Higgs-Kibble Model

Abstract: This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov Parasiuk Hepp-Zimmermann renormalization scheme is used throughout, including the renormalized action principle proved by Lowenstein and Lam. The whole study is based on the fulfillment to all orders of perturbation theory of the Slavnov identities which express the invariance of the Lagrangian under a supergauge type family of non-linear transformations involving the Faddeev-Popov ghosts. Direct combinatorial proofs are given of the gauge independence and unitarity of the physicalS operator. Their simplicity relies both on a systematic use of the Slavnov identities as well as suitable normalization conditions which allow to perform all mass renormalizations, including those pertaining to the ghosts, so that the theory can be given a setting within a fixed Fock space. Some simple gauge independent local operators are constructed.