121208723
Profiles of the confining tube
Abstract Progress in studying colour fields generated by static sources in quenched and unquenched QCD is reported.
13534871
Vacuum structure of pure gauge theories on the lattice
Results from simulations on two aspects of quark confinement in the pure gauge sector are presented. First is the calculation of the profile of the flux tube connecting a static q[bar q] pair in SU(2). By use of the Michael sum rules as a constraint, evidence is set forth that the energy density at the center of the flux tube goes to a constant as a function of quark- separation. Slow variation of the width and energy density is not ruled out. Secondly in the confined phase of lattice U(l), the curl of the magnetic monopole current is calculated, and it is shown that the dual London equation is satisfied and that the electric fluxoid is quantized.
118798864
Monopoles and Confinement in Lattice-Gauge Theory.
A C K N O W LED G EM ENTS I am indebted to my advisor, R ichard H aym aker, for his guidance, pa­ tience and encouragem ent during this p ro ject. I am happy to thank him for m any hours of fruitful discussions, for m uch help w ith program m ing, and for taking a lot of trouble to help me gain an appreciation of particle physics in general. I am grateful for his support in encouraging me to a tten d various conferences and sum m er schools, and in giving me the opportun ity to present talks. I am also happy to thank our collaborator, D ana Browne for encour­ agem ent and advice, for being very generous w ith his time, for invaluable help w ith this p ro ject, and also for helping me w ith program m ing, w riting papers, and Tq X . I am also glad to acknowledge useful discussions and help from Chen-H an Lee. I would also like to thank my friends C hristopher C hapm an, Shyamoli C haudhuri, C h itra Guruswamy, Ja i Won Kim, Evan M auceli, Ying Cai Peng, Vijay Poduri, Hossein Sadeghpour, Z ahra Sadeghpour, Jyo tsna V ijapurkar. Bing Yu, and Lijun Zhang, for the ir help and support. M ost of all, I am indebted to my family, w ithout whose support and encouragem ent this work would not have been possible. This work was done on the Physics SUN cluster (LEQSF(90-92)-ENH-12) and on the IBM 3090.
121664310
Energy and action of the colour fields around static quarks
Abstract Results on the profiles of the confining tube in the energy and action densities are discussed. Lattice sum rules are tested in detail.
119959917
Bounds on elastic absorptive parts
We reduce the general problem of obtaining bounds on elastic absorptive parts of a scattering amplitude subject to unitarity restrictions and any number of constraints involving partial wave amplitudes linearly to a form where it can be directly applied to any such problem. A series of bounds on absorptive parts for positive momentum transfer square t, within the Lehmann-Martin ellipse, is derived. These involve a knowledge of the first few momentum transfer derivatives of the absorptive part in the forward direction, i.e., t = 0. Upper and lower bounds on the higher t-derivatives of the absorptive part at t = 0 are also given.
120734068
Conformally invariant field theories in two dimensions and corresponding statistical mechanical models
Belavin, Zamlodochikov and Polyakov have recently proposed a class of conformally invariant field theories in two dimension with exactly determined rational critical indices. We establish a tentative identification of a subset of these theories in terms of the O(n) model and theq-state Potts model in 2-dimensions for appropriaten andq.
121927117
Unitary bounds on elastic absorptive amplitudes involving total cross section, forward slope and curvature
Abstract We obtain rather tight unitarity upper and lower bounds on the absorptive part A ( s , t ) of elastic amplitudes with given total cross section, slope and curvature at t = 0 and compare them with experiment.
122336835
Validity of scaling relations between nucleon form factors
We prove, within the framework of analytic S-matrix theory and the physical mass spectrum, that the following scaling relations cannot be rigorously true for all t: (i) G M V (t)∝G E V (t), (ii) G M V (t)=R 1 (t)G E V (t)+R 2 (t), where R 1,2 (t) are rational functions of t, (iii) F Π (t)∝G E V (t), and (iv) F Π (t)∝G M V (t).
120600964
Path integrals and constraints: Particle in a box
Abstract Equivalence between the lagrangian path integral and the hamiltonian path integral with constraints is shown for a particle in a one-dimensional box.