Lattice QCD — from Quark Confinement to Asymptotic Freedom

Lüscher, Martin

doi:10.1007/978-3-0348-7907-1_16

Cited by 5 publications

(7 citation statements)

References 21 publications

(9 reference statements)

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“…More precisely, the task is to find all tensors that are invariant under the spin covering Spin (4, ). A detailed analysis [31] then shows that no additional invariant tensors can occur under Spin(4, ), and hence the basis of four-quark operators in the continuum theory is also a basis in the lattice theory.…”

Section: Operator Basismentioning

confidence: 99%

“…This would imply that the operators in the basis have simple transformation properties either under the chiral symmetry or under CP, but not under both symmetries simultaneously. The discussion in [31], which is summarised in Appendix B, shows, however, that simple CP transformation properties are recovered if one considers insertions of Q ±,bare 1 and Q ±,bare 2 in correlation functions of local operators at non-zero distances. In this situation, the operators transform under CP like in the continuum theory, up to an overall factor that depends on the bare quark masses.…”

Section: Operator Basismentioning

confidence: 99%

“…In this appendix we report the argument spelled out in [31], which shows that in lattice QCD with Ginsparg-Wilson fermions, the CP symmetry remains a useful tool in the analysis of operator mixing, if a chiral operator basis is chosen. Assuming that D satisfies the Ginsparg-Wilson relation, we note that the quark action…”

Section: B Exact Chiral Symmetry and Cpmentioning

confidence: 99%

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A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule

Giusti

Hernández²,

Laine

et al. 2004

J. High Energy Phys.

135

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We present a strategy designed to separate several possible origins of the well-known enhancement of the ∆I = 1/2 amplitude in non-leptonic kaon decays. In particular, we seek to unambiguously quantify the rôle of the charm quark mass in the observed enhancement. This is achieved by considering QCD with an unphysically light charm quark, so that the theory possesses an approximate SU(4) L × SU(4) R chiral symmetry. The strategy proceeds by computing the relevant operator matrix elements and monitoring their values as the charm quark mass departs from the SU(4)-symmetric situation. We study the influence of the charm quark mass in Chiral Perturbation Theory. First results from lattice simulations in the SU(4)-symmetric limit are also discussed.

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Section: Operator Basismentioning

confidence: 99%

Section: Operator Basismentioning

confidence: 99%

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A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule

Giusti

Hernández²,

Laine

et al. 2004

J. High Energy Phys.

135

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“…The DNP architecture has been validated in the SHAPES project by using the DNP TLM SystemC [15] model integrated in different multi-tile processor configurations. In particular, the DNP was employed in benchmarking the SHAPES architecture on a kernel code [16] for Lattice Quantum Chromo Dynamics (LQCD), and tested on a system configuration of 8 RDTs arranged in a 2 × 2 × 2 3D topology (one of those depicted in Fig. 7).…”

Section: Resultsmentioning

confidence: 99%

The Distributed Network Processor: a novel off-chip and on-chip interconnection network architecture

Biagioni¹,

Cicero²,

Lonardo³

et al. 2012

Preprint

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One of the most demanding challenges for the designers of parallel computing architectures is to deliver an efficient network infrastructure providing low latency, high bandwidth communications while preserving scalability. Besides off-chip communications between processors, recent multi-tile (i.e. multi-core) architectures face the challenge for an efficient on-chip interconnection network between processor's tiles. In this paper, we present a configurable and scalable architecture, based on our Distributed Network Processor (DNP) IP Library, targeting systems ranging from single MPSoCs to massive HPC platforms.The DNP provides inter-tile services for both on-chip and offchip communications with a uniform RDMA style API, over a multi-dimensional direct network -see [1] for a definition of direct networks -with a (possibly) hybrid topology. It is designed as a parametric Intellectual Property Library easily customizable to specific needs. The currently available blocks implement wormhole, deadlock-free packet-based communications with static routing.The DNP offers a configurable number L, N and M of ports -respectively intra-tile I/O ports to ensure connections among elements within the same computational tile, on-chip communication ones to link different tiles onto the same silicon die, and off-chip communication inter-tile I/O ports to link those belonging to different dies. -Because of the fully switched architecture, the DNP may sustain up to L + N + M packet transactions at the same time.The DNP has been integrated into the design of an MPSoC dedicated to both high performance audio/video processing and theoretical physics applications. We present the details of its architecture and show some promising results we obtained on a first preliminary implementation.

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“…The first term is a Coulomb-like potential and the second is a confining potential. The Coulomb part is called the Lüscher term [1] and plays a crucial theoretical role even if it is not very important in heavy quark spectroscopy. Color confinement in QCD is true for low energy scales, where the momentum transfer is low, but in the higher energy scale quarks acquire asymptotic freedom and are well described by perturbation theory.…”

Section: The Standard Modelmentioning

confidence: 99%

The Photoproduction of Strangeness in y p --> K+ p+ p- Lambda with CLAS at Jefferson Lab

Ghoul

2016

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The Graduate School has verified and approved the above-named committee members, and certifies that the dissertation has been approved in accordance with university requirements.All the things I learned in graduate school were the fruit of my relationship with my advisor Dr. Paul Eugenio. He is a wonderful teacher who puts his students' interest in front of his, thus making sure they get all the help they need. Paul, you have been very generous with your time and funding, giving me advice when I would ask for help and sending me to numerous conferences and workshops. Your company has extensively benefited me on an academic level and a personal level. I will be the researcher I strive to become one day because of your guidance and support. Thank you.To my parents, Amenah and Mohammad. The two most influential people in my life. They sacrificed a lot so my siblings and I would become the people we are right now. Through all the hardships that we went through as a family, they always provided a warm home for me to grow into the man I am right now. Dad, you invested a lot into my future and I can not thank you enough. You told me multiple times that the one thing no one can take away from us is knowledge, and today I wholeheartedly believe that I have made you proud. I wouldn't be the man I am right now without your constant support and love. Mom, your unconditional and limitless love for me is what keeps me going. Your pride in me will always be my greatest reward.To my sister Zahra, thank you for making the first few years in graduate school easier for me and for giving me advice on how to proceed. I owe my success to your constant encouragement and belief in me. I keep looking up to you and I strive to become the scientist and teacher that you are right now. You are not just my sister, but also my friend and teacher.To my siblings Zeinab, Hassan, fatima and Iman, thank you for the numerous joyful phone calls and skype sessions over the weekends. You made sure I did not feel the distance between us by always talking to me and letting me know that you are there for me.To my new family, the Wakils, Bassam, Gwyn and Brandon, thank you for taking me in as a member of your family. You have given me a home away from home, and have been in every step of my journey in graduate school. I am grateful to have met you and I strive to keep making you proud of me.Last but not least, a big thank you to my wonderful wife, Samantha, without whom I would not have gotten so far. Samantha, you are the reason I am here right now. I am so thankful that we have found each other. Your ambitious and hard working nature is inspirational and it is you who inspires every decision I make. I love you. v

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Lattice QCD — from Quark Confinement to Asymptotic Freedom

Cited by 5 publications

References 21 publications

A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule

A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule

The Distributed Network Processor: a novel off-chip and on-chip interconnection network architecture

The Photoproduction of Strangeness in y p --> K+ p+ p- Lambda with CLAS at Jefferson Lab

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