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Sep 18, 2013
09/13

by
Peter Watson

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A recent form of the Slavnov-Taylor identity for the ghost-gluon vertex of QCD is compared with perturbative results. It is found that this identity, derived assuming ghost-ghost scattering can be neglected, is not consistent with perturbation theory. A new identity is derived at the one-loop perturbative level.

Source: http://arxiv.org/abs/hep-ph/9901454v1

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Sep 23, 2013
09/13

by
Peter Watson

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Results for the light meson mass spectrum from a Bethe-Salpeter approach are presented. The results obtained in the standard framework are Poincar\'{e} covariant and compare favourably with lattice results. Using a more sophisticated scheme, the pseudoscalar, vector and $1^{++}$ ($a_1/f_1$) axialvector charge eigenstate masses are unaltered whereas the $1^{+-}$ ($b_1/h_1$) axialvector meson mass is raised.

Source: http://arxiv.org/abs/hep-ph/0411032v1

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Sep 21, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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The functional approach to Coulomb gauge Yang-Mills theory is considered within the standard, second order, formalism. The Dyson-Schwinger equations and Slavnov-Taylor identities concerning the two-point functions are derived explicitly and one-loop perturbative results are presented.

Source: http://arxiv.org/abs/0709.3963v1

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Sep 20, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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Coulomb gauge Yang-Mills theory within the first order formalism is considered with a view to deriving the propagator Dyson-Schwinger equations. The first order formalism is studied with special emphasis on the BRS invariance and it is found that there exists two forms of invariance - invariance under the standard BRS transform and under a second, non-standard transform. The field equations of motion and symmetries are derived explicitly and certain exact relations that simplify the formalism...

Source: http://arxiv.org/abs/hep-th/0612114v1

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Sep 21, 2013
09/13

by
Hugo Reinhardt; Peter Watson

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The continuum Yang-Mills functional integral within the first order formalism and in Coulomb gauge is studied. In particular, the temporal zero-modes of the Faddeev-Popov operator are explicitly accounted for. It is shown that the treatment of these zero-modes results in the constraint that the total color charge of the system vanishes at all times. Further, it is argued that the functional integral is effectively fully gauge-fixed once Gauss' law has been resolved in Coulomb gauge.

Source: http://arxiv.org/abs/0808.2436v1

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52

Sep 21, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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Perturbative Coulomb gauge Yang-Mills theory within the first order formalism is considered. Using a differential equation technique and dimensional regularization, analytic results for both the ultraviolet divergent and finite parts of the two-point functions at one-loop order are derived. It is shown how the non-ultraviolet divergent parts of the results are finite at spacelike momenta with kinematical singularities on the light-cone and subsequent branch cuts extending into the timelike...

Source: http://arxiv.org/abs/0709.0140v1

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Sep 19, 2013
09/13

by
Peter Watson; Reinhard Alkofer

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Expanding the Landau gauge gluon and ghost two-point functions in a power series we investigate their infrared behavior. The corresponding powers are constrained through the ghost Dyson-Schwinger equation by exploiting multiplicative renormalizability. Without recourse to any specific truncation we demonstrate that the infrared powers of the gluon and ghost propagators are uniquely related to each other. Constraints for these powers are derived, and the resulting infrared enhancement of the...

Source: http://arxiv.org/abs/hep-ph/0102332v2

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Sep 23, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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Coulomb gauge QCD in the first order formalism can be written in terms of a ghost-free, nonlocal action that ensures total color charge conservation via Gauss' law. Making an Ansatz whereby the nonlocal term (the Coulomb kernel) is replaced by its expectation value, the resulting Dyson-Schwinger equations can be derived. With a leading order truncation, these equations reduce to the gap equations for the static gluon and quark propagators obtained from a quasi-particle approximation to the...

Source: http://arxiv.org/abs/1111.7279v1

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40

Sep 20, 2013
09/13

by
Peter Watson; Wolfgang Cassing

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We propose a nonperturbative resummation scheme for the four-point connected quark-antiquark Green's function $G^4$ that shows how the Bethe-Salpeter equation may be `unquenched' with respect to quark-antiquark loops. This mechanism allows to dynamically account for hadronic meson decays and multiquark structures whilst respecting the underlying symmetries. An initial approximation to the four-point Schwinger-Dyson equation -- suitable for phenomenological application -- is examined numerically...

Source: http://arxiv.org/abs/hep-ph/0405287v1

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Jul 20, 2013
07/13

by
Peter Watson; Hugo Reinhardt

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A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is performed and solutions for the ghost propagator found. As input, lattice results for the spatial gluon propagator are used. It is shown that in order to solve completely, the equation must be supplemented by a nonperturbative boundary condition (the value of the inverse ghost propagator dressing function at zero momentum) which determines if the solution is critical (zero value for the boundary condition) or...

Source: http://arxiv.org/abs/1007.2583v2

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Sep 23, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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I will discuss the gap and Bethe-Salpeter equations for quantum chromodynamics in Coulomb gauge under a leading order truncation scheme. Within this scheme, the role of charge conservation and the cancellation of infrared divergences becomes particularly clear. The quark gap equation exhibits not only chiral symmetry breaking, but explicitly reproduces the heavy quark limit. The corresponding gluon equation has a massive solution with interesting nonperturbative renormalization properties. I...

Source: http://arxiv.org/abs/1212.4814v1

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Sep 23, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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A truncation scheme for the Dyson-Schwinger equations of quantum chromodynamics in Coulomb gauge within the first order formalism is presented. The truncation is based on an Ansatz for the Coulomb kernel occurring in the action. Results at leading loop order and in the infrared are discussed for both the Yang-Mills and quark sectors. It is found that the resulting equations for the static gluon and quark propagators agree with those derived in a quasi-particle approximation to the canonical...

Source: http://arxiv.org/abs/1111.6078v1

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Sep 22, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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Two aspects of the color charge in Coulomb gauge continuum Yang-Mills theory are discussed. The first aspect is the existence of a conserved and vanishing total charge exhibited within the first order functional formalism. The second aspect is the closure of the set of Slavnov-Taylor identities in the second order functional formalism, such that the exact solution for temporal Green's functions is in principle possible and thereby preserving the color charge.

Source: http://arxiv.org/abs/0812.2199v1

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Sep 18, 2013
09/13

by
Peter Watson; Hugo Reinhardt

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The Bethe-Salpeter equation and leptonic decay constants for pseudoscalar and vector quark-antiquark mesons with arbitrary quark masses are studied in Coulomb gauge, under a leading order truncation. As input, we use a pure linear rising potential, supplemented by a contact term arising from the conservation of total color charge. It is shown how the equations can be written in terms of manifestly finite functions, despite the infrared singular interaction. The resulting equations are solved...

Source: http://arxiv.org/abs/1211.4507v1

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Sep 21, 2013
09/13

by
Carina Popovici; Peter Watson; Hugo Reinhardt

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We consider the heavy quark limit of Coulomb gauge QCD, with the truncation of the Yang-Mills sector to include only (dressed) two-point functions. We find that the rainbow-ladder approximation to the gap and Bethe-Salpeter equations is nonperturbatively exact and moreover, we provide a direct connection between the temporal gluon propagator and the quark confinement potential. Further, we show that only bound states of color singlet quark-antiquark (meson) and quark-quark (SU(2) baryon) pairs...

Source: http://arxiv.org/abs/1011.2151v1

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Sep 24, 2013
09/13

by
Carina Popovici; Peter Watson; Hugo Reinhardt

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The heavy quark sector of Coulomb gauge QCD is investigated, by making a heavy quark mass expansion of the QCD action and restricting to the leading order. With the truncation of the Yang-Mills sector to include only dressed two-point functions, we study the Dyson-Schwinger equations for the four-point quark Green's functions (proper and amputated). In this limit, we provide an exact solution for the four-point quark Green's functions and show that the corresponding poles relate to the bound...

Source: http://arxiv.org/abs/1112.5176v1

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Sep 18, 2013
09/13

by
Reinhard Alkofer; Lorenz von Smekal; Peter Watson

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Prerequisites of confinement in the covariant and local description of QCD are reviewed. In particular, the Kugo-Ojima confinement criterion, the positivity violations of transverse gluon and quark states, and the conditions necessary to avoid the decomposition property for colored clusters are discussed. In Landau gauge QCD, the Kugo-Ojima confinement criterion follows from the ghost Dyson-Schwinger equation if the corresponding Green's functions can be expanded in an asymptotic series....

Source: http://arxiv.org/abs/hep-ph/0105142v2

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Sep 23, 2013
09/13

by
Christian S. Fischer; Reinhard Alkofer; Wolfgang Cassing; Felipe Llanes-Estrada; Peter Watson

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We summarise recent results on the properties of gluons, quarks and light mesons from the Green's functions approach to QCD. We discuss a self-consistent, infrared power law solution for the Schwinger-Dyson equations of the 1PI-Greens functions of Yang-Mills theory. The corresponding running coupling has a universal fixed point at zero momentum. Based on these analytical results a truncation scheme for the coupled system of Schwinger-Dyson equations for the propagators of QCD and the...

Source: http://arxiv.org/abs/hep-ph/0511147v1

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Jun 23, 2021
06/21

by
Producers: Nigel Thomas, Peter Watson-Wood / Director: David Greene / Writer: Cynthia A. Cherbak / Starring: Robert Beck Christopher Bowen Julie Cox

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PLOT : The relationship that blossomed between Diana, Princess of Wales, and Captain James Hewitt. Based on Hewitt's book. _IMDb IMDb User Review : Princess In Love Had The Best Actor Playing Prince Charles (June 18, 2011 by climbingivy): Princess In Love had the best actor ever to play the part of pompous and impossible Prince Charles His Royal Pain In The Neck Highness.If Princess In Love is an accurate portrayal of what life was like in the palace and in her marriage to the British royal...

Topics: 1996, Drama, Romance, TV movie, Bio, Royalty

Revolutionary concepts continually shape and uproot research agendas, and occasionally researchers themselves. This seminar examined the many ways revolution impacts on research. Kerry Lock explores the role of new ecological thinking in the way we understand and try to conserve the biophysical environment. Peter Watson takes a radical perspective and assesses how the label 'revolution' can distort our understanding of history. Kerry Lock: The Green RevolutionPeter Watson: The Feudal...

Revolutionary concepts continually shape and uproot research agendas, and occasionally researchers themselves. This seminar examined the many ways revolution impacts on research. Kerry Lock explores the role of new ecological thinking in the way we understand and try to conserve the biophysical environment. Peter Watson takes a radical perspective and assesses how the label 'revolution' can distort our understanding of history. Kerry Lock: The Green RevolutionPeter Watson: The Feudal...

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Aug 13, 2022
08/22

by
Peter Watson

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#Worldwar2 #wwii #nationalsocialism #thirdreich #nsdap #jwo #nwo #communismkills #whitegenocide #music #EuropeanPride #Wehrmacht #WorldWar1 #wwi #TreatyofVersailles #jewworldorder #betterdeadthanred #newworldorder #greatestally

Topic: #Worldwar2 #wwii #nationalsocialism #thirdreich #nsdap #jwo #nwo #communismkills #whitegenocide...

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89

Mar 16, 2022
03/22

by
Peter Watson

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For the complete collection of psychopolitics series of books: https://archive.org/details/psychopolitics-book-collection-cointelpro-mkultra Check the channel for further content

Topics: Intelligence, COINTELPRO, MKULTRA, psychology, propaganda