Source: Dissertation Abstracts International, Volume: 37-07, Section: B, page: 3482. / Thesis (Ph.D.)--The Florida State University, 1976.

Source: Dissertation Abstracts International, Volume: 39-03, Section: B, page: 1352. / Thesis (Ph.D.)--The Florida State University, 1978.

Source: Dissertation Abstracts International, Volume: 34-04, Section: B, page: 1680. / Thesis (Ph.D.)--The Florida State University, 1973.

Source: Dissertation Abstracts International, Volume: 34-03, Section: B, page: 1215. / Thesis (Ph.D.)--The Florida State University, 1973.

Monte Carlo simulations are performed to study phase transitions of several systems. The 3D Ising model, the 2D 10-state Potts model, the 3D 3-state Potts model, and the SU(2) and SU(3) lattice gauge theories are considered. / For $L\sp{D}$ block geometries, we calculate the density of states and obtain high precision estimates for the leading partition function zeros. The finite-size scaling analysis of the first zero allows the extraction of the critical exponent $\nu$. For first-order phase transitions, the analysis of the specific heat gives an estimation of the latent heat. For $L\sp{D-1}$ $\infty$ cylindrical geometries, we determine the mass-gap m = 1/$\xi$ ($\xi$ is the correlation length). The finite-size scaling analysis of the mass-gap yields another estimate of the critical exponent $\nu$. The often exploited universality between the SU(2) gauge theory and the 3D Ising model critical exponents is confirmed. Our results show also a consistency between the SU(3) and the 3D 3-state Potts model critical exponent $\nu$. / Source: Dissertation Abstracts International, Volume: 52-10, Section: B, page: 5329. / Major Professor: Bernd A. Berg. / Thesis (Ph.D.)--The Florida State University, 1991.

In this dissertation several two dimensional statistical systems exhibiting discrete Z(n) symmetries are studied. For this purpose a newly developed algorithm to compute the partition function of these models exactly is utilized. The zeros of the partition function are examined in order to obtain information about the observable quantities at the critical point. This occurs in the form of critical exponents of the order parameters which characterize phenomena at the critical point. The correlation length exponent is found to agree very well with those computed from strong coupling expansions for the mass gap and with Monte Carlo results. / In Feynman's path integral formalism the partition function of a statistical system can be related to the vacuum expectation value of the time ordered product of the observable quantities of the corresponding field theoretic model. Hence a generalization of ordinary scale invariance in the form of conformal invariance is focussed upon. This principle is very suitably applicable, in the case of two dimensional statistical models undergoing second order phase transitions at criticality. The conformal anomaly specifies the universality class to which these models belong. From an evaluation of the partition function, the free energy at criticality is computed, to determine the conformal anomaly of these models. The conformal anomaly for all the models considered here are in good agreement with the predicted values. / Source: Dissertation Abstracts International, Volume: 52-10, Section: B, page: 5329. / Major Professor: Dennis W. Duke. / Thesis (Ph.D.)--The Florida State University, 1991.

To gain understanding of the Higgs-fermion sector of the standard model, we study the one-component $Z\sb2$ symmetric and the four-component $O(4)$ symmetric scalar models coupled to staggered fermions using the hybrid Monte Carlo algorithm. We map out the phase diagrams, and show that the $Z\sb2$ model has a tree level perturbative behaviour at all points in the broken phase. The $O(4)$ model on the other hand is shown to have two characteristically different behaviours; one for large Yukawa couplings where the fermions get infinitely heavy and decouple in the continuum limit, and one for small Yukawa couplings where the fermions remain light. For very small Yukawa couplings the fermions show the expected tree level perturbative behaviour and for larger values the influence of the fermions becomes substantial. After estimating the finite size effects at small Yukawa couplings we make relatively accurate measurements of the scalar mass and wave function renormalization constants at the point $\kappa$ = 0.0 and y = 0.85-0.95. Even though this is not the largest value possible for the Yukawa coupling we are able to show that the bound of the Higgs mass will move up significantly, from around 600 GeV to around 900 GeV, by including fermions in the model. Likewise we show that a bound can be put on the fermion mass, around 200 GeV. The largest value of the bare Yukawa coupling is obtained at rather large negative $\kappa$. Due to bad convergence rates in the inversion of the fermion matrix, which is needed in the updating procedure, this region has not been possible to investigate. / Source: Dissertation Abstracts International, Volume: 53-03, Section: B, page: 1424. / Major Professors: Urs M. Heller; Dennis Duke. / Thesis (Ph.D.)--The Florida State University, 1992.

The results presented in this dissertation are based on Fermilab MPS experiment E580. This experiment was designed to study states which decay into two neutral strange particles. Copious K*('(+OR-)) production was observed in the K(,s)('0) K(,s)('0) + X data sample. Evidence for narrow resonances at 1.87 GeV/c('2) was clearly seen in both K(,s)('0) K*('+) and K(,s)('0) K*('-) mass spectra. These signals were interpreted as Cabibbo suppressed decay modes of D('(+OR-)) mesons. This is the first observation of this particular decay mode. The measured D('(+OR-)) decay ratio of (K(,s)('0) K*('(+OR-))) / (K(,s)('0) K(,s)('0) PI('(+OR-))) is (0.78 (+OR-) 0.06). The x(,F) distributions for the D('-) from both Cabibbo suppressed and Cabibbo favored (K(,s)('0) 3PI) modes exhibit definite forward production. / Source: Dissertation Abstracts International, Volume: 46-04, Section: B, page: 1212. / Thesis (Ph.D.)--The Florida State University, 1985.

Several computer simulations studying a variety of topics in statistical mechanics and lattice gauge theories are performed. / The first study describes a Monte Carlo simulation performed on Ising systems defined on Sierpinsky carpets of dimension between one and four. The critical coupling and the exponent $\gamma$ are measured as a function of dimension. The conclusions drawn from the study are that fractals of the Sierpinsky carpet type can be used to extrapolate statistical systems smoothly between integer dimension in the way given by the $\epsilon$-expansion. The Ising gauge theory in $d = 4 -\epsilon,$ for $\epsilon\to 0\sp+,$ is then studied by performing a Monte Carlo simulation for the theory defined on fractals. The study indicates that the first order phase transition of the $d = 4$ theory becomes second order for all $\epsilon\not= 0,$ implying that 4 may be identified as an upper critical dimension for abelian gauge theories. / A high statistics Monte Carlo simulation for the three-dimensional Ising model is presented for lattices of sizes $8\sp3$ to $44\sp3.$ All the data obtained agrees completely, within statistical errors, with the forms predicted by finite-size scaling. The simulations were made possible by developing a very high speed implementation of the Metropolis algorithm. A finite-size scaling study of the susceptibility at criticality gives ${\gamma\over\nu} = 1.964(3).$ / Finally, a method to estimate numerically the partition function of statistical systems is developed. The method is first applied to calculate the partition function of the three dimensional Ising model on lattices of size $5\sp3$ to $10\sp3.$ From a finite-size scaling of the zeros of these partition functions in the complex $\beta$ plane, the estimate $\nu = 0.6295(10)$ is obtained. A study done for the $Z(2)$ and $Z(8)$ gauge theories shows how one can obtain the order of the phase transition from the scaling of the zeros. The method is finally applied to the $SU(2)$ gauge theory. A line of zeros signaling the $g\sbsp{0}{2} = 0$ fixed point is observed. The study also shows that the lines of zeros of even a $2\sp4$ lattice are a qualitative signal to distinguish a potential phase transition from a crossover. / Source: Dissertation Abstracts International, Volume: 48-07, Section: B, page: 2008. / Thesis (Ph.D.)--The Florida State University, 1987.

The angular distribution of hadron pairs produced in the interaction of 800 GeV/c protons on targets of aluminium, beryllium, iron and tungsten have been measured, inferring the underlying dynamics of parton-parton scattering in these interactions. The transverse momentum hadron pairs with p$\sb{\rm T} <$ 2.0 GeV/c are studied in three charge states, (+ +), (+ $-$), ($- -$) covering the dihadron mass range of 7 to 15 GeV/c$\sp2$ and scattering angles up to cos $\theta\sp\*$ = 0.50. While the parton-parton angular distributions are shown to be independent of the target type, a small dependence on the charge state of the distributions is observed. These results are found to be generally consistent with the results of leading log QCD calculations. Unlike-sign charge state distributions for this experiment are found to deviate from low x dijet results as expected, and are found to be consistant with neutral dipion production results. / The cross section as a function of the parton-parton scattering angle for the three charge states is shown to vary linearly with the value of the atomic weight. The ratio of the cross sections for different charge states as a function of the parton-parton scattering angle is also found to compare favorably with the predictions of leading log QCD calculations. / Source: Dissertation Abstracts International, Volume: 52-08, Section: B, page: 4269. / Major Professor: Vasken Hagopian. / Thesis (Ph.D.)--The Florida State University, 1991.