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Relevant bibliographies by topics / Lattice formulation of QCD

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Academic literature on the topic 'Lattice formulation of QCD'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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Journal articles on the topic "Lattice formulation of QCD"

1

HATSUDA, TETSUO, SINYA AOKI, NORIYOSHI ISHII, and HIDEKATSU NEMURA. "FROM LATTICE QCD TO NUCLEAR FORCE." Modern Physics Letters A 23, no. 27n30 (2008): 2265–72. http://dx.doi.org/10.1142/s0217732308029174.

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After a brief introduction to the phenomenological nucleon-nucleon (NN) potentials, the basic formulation of deriving the NN potential from lattice QCD simulations on the basis of the equal-time Bethe-Salpeter wave function is presented. The resultant non-local NN potential and its derivative expansion are discussed. Ongoing and planned studies on the lattice with quenched and full QCD simulations are summarized.

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NAKAMURA, Atsushi. "Finite Density Simulations: Comparison of Various Approaches." Modern Physics Letters A 22, no. 07n10 (2007): 473–89. http://dx.doi.org/10.1142/s0217732307023067.

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This is a short overview of the lattice QCD simulations of finite density systems. We first describe a brief introduction of the lattice QCD at finite density, including the minimum necessary formulation, where we show why an annoying complex fermion determinant appears, and why in some cases it does not appear. Then we review several approaches of present and past days. We conclude possible directions of lattice QCD simulations at finite density in near future.

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Yee, Ken. "Towards an Abelian formulation of lattice QCD confinement." Physical Review D 49, no. 5 (1994): 2574–77. http://dx.doi.org/10.1103/physrevd.49.2574.

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Gagliardi, Giuseppe, Jangho Kim, and Wolfgang Unger. "Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime." EPJ Web of Conferences 175 (2018): 07047. http://dx.doi.org/10.1051/epjconf/201817507047.

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We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation. This formulation is in particular useful to tame the finite density sign problem. The gauge integrals in this limiting case β → 0 are well known, but the gauge integrals needed to study the gauge corrections are more involved. We discuss a method to evaluate such integrals. The phase boundary of lattice QCD for staggered fermions in the μB – T plane has been es

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Borisenko, Oleg, Volodymyr Chelnokov, and Sergey Voloshyn. "Duals of U(N) LGT with staggered fermions." EPJ Web of Conferences 175 (2018): 11021. http://dx.doi.org/10.1051/epjconf/201817511021.

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Various approaches to construction of dual formulations of non-abelian lattice gauge theories are reviewed. In the case of U(N) LGT we use a theory of the Weingarten functions to construct a dual formulation. In particular, the dual representations are constructed 1) for pure gauge models in all dimensions, 2) in the strong coupling limit for the models with arbitrary number of flavours and 3) for two-dimensional U(N) QCD with staggered fermions. Applications related to the finite temperature/density QCD are discussed.

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BROWER, RICHARD C., YUE SHEN, and CHUNG-I. TAN. "CHIRALLY EXTENDED QUANTUM CHROMODYNAMICS." International Journal of Modern Physics C 06, no. 05 (1995): 725–42. http://dx.doi.org/10.1142/s0129183195000599.

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We propose an extended Quantum Chromodynamics (XQCD) Lagrangian in which the fermions are coupled to elementary scalar fields through a Yukawa coupling which preserves chiral invariance. Our principle motivation is to find a new lattice formulation for QCD which avoids the source of critical slowing down usually encountered as the bare quark mass is tuned to the chiral limit. The phase diagram and the weak coupling limit for XQCD are studied. They suggest a conjecture that the continuum limit of XQCD is the same as the continuum limit of conventional lattice formulation of QCD. As examples of

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DI PIERRO, MASSIMO. "AN ALGORITHMIC APPROACH TO QUANTUM FIELD THEORY." International Journal of Modern Physics A 21, no. 03 (2006): 405–47. http://dx.doi.org/10.1142/s0217751x06028965.

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The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper, we review the theoretical foundations and the most basic algorithms required to implement a typical lattice computation, including the Metropolis, the Gibbs sampling, the Minimal Residual, and the Stabilized Biconjugate inverters. The main emphasis is on gauge theories with fermions such as QCD. We also provide examples of typical results from lattice QCD computations for quantities of phenomenological interest.

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IVANOV, A. N., N. I. TROITSKAYA, M. FABER, M. SCHALER, and M. NAGY. "ON THE BEHAVIOR OF DYNAMICAL QUARK-ANTIQUARK PAIRS IN EXTERNAL CHROMO-ELECTRIC FIELDS." Modern Physics Letters A 08, no. 11 (1993): 1021–27. http://dx.doi.org/10.1142/s0217732393002506.

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The vacuum structure of QCD in an external chromo-electric field is investigated within the continuum space-time formulation of perturbative QCD and the extended NambuJona-Lasinio model, used as a low-energy approximation of QCD. We show that the density of dynamical quark-antiquark pairs decreases with increasing external chromoelectric field strength. These results are compared with recent numerical simulations of lattice QCD which indicate restoration of chiral symmetry in the vicinity of a static color

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DINTER, SIMON, VINCENT DRACH, and KARL JANSEN. "DARK MATTER SEARCH AND THE SCALAR QUARK CONTENTS OF THE NUCLEON." International Journal of Modern Physics E 20, supp01 (2011): 110–17. http://dx.doi.org/10.1142/s0218301311040141.

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We present lattice QCD simulation results from the European Twisted Mass Collaboration (ETMC) for the light, strange and charm quark contents of the nucleon. These quantities are important ingredients to estimate the cross-section for the detection of WIMPs as Dark Matter candidates. By employing a particular lattice QCD formulation, i.e. twisted mass fermions, accurate results of the light and strange scalar contents of the nucleon can be obtained. In addition, we provide a bound for the charm quark content of the nucleon.

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JANSEN, KARL. "LATTICE FIELD THEORY." International Journal of Modern Physics E 16, no. 09 (2007): 2638–79. http://dx.doi.org/10.1142/s0218301307008355.

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Starting with the example of the quantum mechanical harmonic oscillator, we develop the concept of euclidean lattice field theory. After describing Wilson's formulation of quantum chromodynamics on the lattice, we will introduce modern lattice QCD actions which greatly reduce lattice artefacts or are even chiral invariant. The substantial algorithmic improvements of the last couple of years will be shown which led to a real breakthrough for dynamical Wilson fermion simulations. Finally, we will present some results of present simulations with dynamical quarks and demonstrate that nowadays even

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Dissertations / Theses on the topic "Lattice formulation of QCD"

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Ford, I. J. "Aspects of pure quantum chromodynamics on large lattices." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382631.

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Luz, Fernando Henrique e. Paula da. "Implementação do software MILC no estudo da QCD completa." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/76/76132/tde-23042010-081643/.

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A CromoDinâmica Quântica (QCD) é a teoria quântica de campos que descreve as interações fortes entre quarks, que são os constituintes fundamentais das partículas do núcleo atômico. Devido ao caráter peculiar destas interações, o estudo da QCD não pode ser realizado pelos métodos usuais em teorias quânticas de campos, baseados em expansões perturbativas. O estudo não-perturbativo da QCD a partir de primeiros princípios torna-se possível através da formulação de rede da teoria, que equivale a um modelo de mecânica estatística clássica, para o qual podem ser realizadas simulações numéricas atravé

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Serenone, Willian Matioli. "Potencial de quarks pesados com input de teorias de gauge na rede." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-24092014-163411/.

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Nesta dissertação nós revisamos aspectos gerais de teorias de gauge, os princípios da formulação de rede da cromodinâmica quântica (QCD) e algumas propriedades de quarkônios pesados, i.e. estados ligados de um quark pesado e seu antiquark. Como um exemplo de simulações de Monte Carlo de modelos de rede, apresentamos aplicações nos casos do oscilador harmônico e teorias de gauge SU(2). Nós estudamos o efeito de incorporar o propagador de gluon de simulações na rede em um modelo de potencial para a descrição do quarkônio, no caso do botômomio e do charmônio. Nós usamos em ambos os casos uma abor

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Pickles, Stephen M. "Algorithms in lattice QCD." Thesis, University of Edinburgh, 1998. http://hdl.handle.net/1842/11256.

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The enormous computing resources that large-scale simulations in Lattice QCD require will continue to test the limits of even the largest supercomputers into the foreseeable future. The efficiency of such simulations will therefore concern practitioners of lattice QCD for some time to come. I begin with an introduction to those aspects of lattice QCD essential to the remainder of the thesis, and follow with a description of the Wilson fermion matrix M, an object which is central to my theme. The principal bottleneck in Lattice QCD simulations is the solution of linear systems involving M, and

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Skullerud, Jon Ivar. "Renormalisation in lattice QCD." Thesis, University of Edinburgh, 1996. http://hdl.handle.net/1842/12965.

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This thesis investigates various aspects of the relation between the lattice and continuum formulations of quantum field theories, in particular QCD. The aim of this is to gain a better insight into the theory of QCD, and to be able to relate more accurately the numbers obtained from lattice simulations to experimental values for physical quantities. The first part of this thesis (chapters 1 and 2) gives a general introduction to quantum field theory, with emphasis on the lattice formulation of QCD. The first chapter describes the functional integral formulation of gauge theories and how it ca

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Simpson, Alan David. "Algorithms for lattice QCD." Thesis, University of Edinburgh, 1991. http://hdl.handle.net/1842/12946.

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Quantum Chromodynamics (QCD) is the present theory of the strong interactions between quarks and gluons. To simulate QCD on a computer we need to discretise the field theory onto a space-time lattice. After outlining the standard Wilson action for lattice QCD, we describe the improved Clover fermion action with reduced discretisation errors. This thesis describes various techniques required to simulate lattice QCD and their implementation on the UKQCD Grand Challenge supercomputer Maxwell, which is a parallel computer consisting of 64 nodes. The ideas behind Monte Carlo (MC) simulation are int

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Bonnet, Frédéric D. R. "Improved actions in lattice QCD /." Title page, contents and introduction only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phb717.pdf.

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McCallum, Paul. "Upsilon spectroscopy using lattice QCD." Thesis, University of Glasgow, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363170.

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Johnson, Christopher Andrew. "Fermion determinants in lattice QCD." Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250410.

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Campbell, N. A. "Static potentials in lattice QCD." Thesis, University of Liverpool, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.377123.

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Books on the topic "Lattice formulation of QCD"

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Lin, Huey-Wen, and Harvey B. Meyer, eds. Lattice QCD for Nuclear Physics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-08022-2.

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Stokes, Finn M. Structure of Nucleon Excited States from Lattice QCD. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-25722-4.

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Can, Kadir Utku. Electromagnetic Form Factors of Charmed Baryons in Lattice QCD. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8995-4.

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4

Xiang-Qian, Luo, and Gregory Eric B, eds. Non-perturbative methods and lattice QCD: Proceedings of the international workshop. World Scientific, 2001.

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5

Ecole, d'été de physique théorique (Les Houches Haute-Savoie France) (93rd 2009). Modern perspectives in lattice QCD: Quantum field theory and high performance computing. Oxford University Press, USA, 2011.

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6

Baral, Suman. Thomas-Fermi Model for Mesons and Noise Subtraction Techniques in Lattice QCD. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30904-6.

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Doi, Takahiro. Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-6596-5.

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David, Blaschke, Karsch F, and Roberts Craig D, eds. Proceedings of the International Workshop on Understanding Deconfinement in QCD : Trento, Italy, 1-13 March 1999. World Scientific, 2000.

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9

W, Schreiber A., Williams Anthony G, National Institute for Theoretical Physics (Australia), and Special Research Centre for the Subatomic Structure of Matter (Australia), eds. Proceedings of the Workshop on Lightcone QCD and Nonperturbative Hadron Physics: Adelaide, 13-22 December 1999. World Scientific, 2000.

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10

Perspectives in Lattice Qcd. World Scientific Publishing Company, 2008.

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Book chapters on the topic "Lattice formulation of QCD"

1

Can, Kadir Utku. "Lattice Formulation of QCD." In Electromagnetic Form Factors of Charmed Baryons in Lattice QCD. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8995-4_3.

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Wittig, Hartmut. "QCD on the Lattice." In Particle Physics Reference Library. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38207-0_5.

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AbstractSince Wilson’s seminal papers of the mid-1970s, the lattice approach to Quantum Chromodynamics has become increasingly important for the study of the strong interaction at low energies, and has now turned into a mature and established technique. In spite of the fact that the lattice formulation of Quantum Field Theory has been applied to virtually all fundamental interactions, it is appropriate to discuss this topic in a chapter devoted to QCD, since by far the largest part of activity is focused on the strong interaction. Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons.

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3

Ynduráin, Francisco J. "Lattice QCD." In The Theory of Quark and Gluon Interactions. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03932-8_9.

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Doi, Takahiro. "Basics of QCD and Lattice QCD." In Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-6596-5_1.

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Ynduráin, F. J. "Nonperturbative Solutions. Lattice QCD." In The Theory of Quark and Gluon Interactions. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-02940-4_8.

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6

Ratti, Claudia, and Rene Bellwied. "Introduction to Lattice QCD." In Lecture Notes in Physics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67235-5_1.

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Fingberg, Jochen. "Recent Results from Lattice QCD." In NATO ASI Series. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2516-5_7.

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Karsch, Frithjof. "Lattice QCD at Finite Temperature." In QCD Perspectives on Hot and Dense Matter. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0267-7_12.

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Hadjiyiannakou, Kyriakos. "Nucleon Structure from Lattice QCD." In Recent Progress in Few-Body Physics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-32357-8_88.

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Wittig, Hartmut. "5 QCD on the Lattice." In Theory and Experiments. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-74203-6_5.

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Conference papers on the topic "Lattice formulation of QCD"

1

GRÜNEWALD, D. "LATTICE FORMULATION OF QCD “NEAR THE LIGHT CONE”." In Proceedings of the Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708267_0061.

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Klegrewe, Marc, and Wolfgang Unger. "Temporal Correlators in the Continuous Time Formulation of Strong Coupling Lattice QCD." In The 36th Annual International Symposium on Lattice Field Theory. Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.334.0182.

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Kimura, Taro, Tatsuhiro Misumi, and Akira Ohnishi. "QCD Phase Diagram with 2-flavor Lattice Fermion Formulations." In The 30th International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.164.0079.

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Petronzio, Roberto. "Perturbative QCD, Lattice QCD." In Corfu Summer Institute on Elementary Particle Physics. Sissa Medialab, 1999. http://dx.doi.org/10.22323/1.001.0003.

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Kenway, Richard. "Lattice QCD." In Proceedings of the International School of Subnuclear Physics. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708427_0006.

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Sachrajda, Christopher. "QCD Lattice." In The European Physical Society Conference on High Energy Physics. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.180.0153.

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Gupta, Rajan. "Lattice QCD." In The eighth mexican school on particles and fields. AIP, 1999. http://dx.doi.org/10.1063/1.1301380.

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Horvath, Ivan. "Coherent lattice QCD." In XXIVth International Symposium on Lattice Field Theory. Sissa Medialab, 2006. http://dx.doi.org/10.22323/1.032.0053.

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Jansen, Karl. "Lattice QCD simulations." In 13th International Workshop on Advanced Computing and Analysis Techniques in Physics Research. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.093.0012.

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Katz, S. D., and Marvin L. Marshak. "Lattice QCD Thermodynamics." In 10TH CONFERENCE ON THE INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS. AIP, 2009. http://dx.doi.org/10.1063/1.3293839.

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Reports on the topic "Lattice formulation of QCD"

1

Gupta, Rajan, Tanmoy Bhattacharya, Boram Yoon, and Yong-Chull Jang. Lattice QCD at LANL. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1345124.

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Gambhir, Arjun. Disconnected Diagrams in Lattice QCD. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1422713.

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Orginos, Konstantinos. Nuclear Physics from Lattice QCD. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1074360.

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Detmold, William. Multi-meson systems in lattice QCD / Many-body QCD. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1183983.

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Soltz, R., and R. Gupta. Lattice QCD Thermodynamics First 5000 Trajectories. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/909918.

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Kronfeld, Andreas S., and /Fermilab. QCD: results from lattice quantum chromodynamics. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/897018.

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Liu, Keh-Fei, and Terrence Draper. Lattice QCD Calculation of Nucleon Structure. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1323029.

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BLUM, T., M. CREUTZ, and P. PETRECZKY. LATTICE QCD AT FINITE TEMPERATURE AND DENSITY. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/15006985.

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Liu, K. F. Quark orbital angular momentum from lattice QCD. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/753265.

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Morningstar, C. The Improvement Program in Nonrelativistic Lattice QCD. Office of Scientific and Technical Information (OSTI), 2003. http://dx.doi.org/10.2172/815272.

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