Free energy and theta dependence of SU(N) gauge theories

We study the dependence of the free energy on the CP violating angle theta, in four-dimensional SU(N) gauge theories with N >= 3, and in the large-N limit. Using the Wilson lattice formulation for numerical simulations, we compute the first few terms of the expansion of the ground-state energy F(theta) around theta = 0, F(theta) - F(0) = A_2 theta^2 (1 + b_2 theta^2 + ...). Our results support Witten's conjecture: F(theta) - F(0) = A theta^2 + O(1/N) for theta < pi. We verify that the topological susceptibility has a nonzero large-N limit chi_infinity = 2A with corrections of O(1/N^2), in substantial agreement with the Witten-Veneziano formula which relates chi_infinity to the eta' mass. Furthermore, higher order terms in theta are suppressed; in particular, the O(theta^4) term b_2 (related to the eta' - eta' elastic scattering amplitude) turns out to be quite small: b_2 = -0.023(7) for N=3, and its absolute value decreases with increasing N, consistently with the expectation b_2 = O(1/N^2).Comment: 3 pages, talk presented at the conference Lattice2002(topology). v2: One reference has been updated, no further change

Reconstruction of the Extended Gauge Structure from Z′Z' Observables at Future Colliders

The discovery of a new neutral gauge boson $Z'$ with a mass in the TeV region would allow for determination of gauge couplings of the $Z'$ to ordinary quarks and leptons in a model independent way. We show that these couplings in turn would allow us to determine the nature of the extended gauge structure. As a prime example we study the $E_6$ group. In this case two discrete constraints on experimentally determined couplings have to be satisfied. If so, the couplings would then uniquely determine the two parameters, $\tan \beta$ and $\delta$, which fully specify the nature of the $Z'$ within $E_6$. If the $Z'$ is part of the $E_6$ gauge structure, then for $M_{Z'}=1$ TeV $\tan \beta$ and $\delta$ could be determined to around $10\%$ at the future colliders. The NLC provides a unique determination of the two constraints as well as of $\tan \beta$ and $\delta$, though with slightly larger error bars than at the LHC. On the other hand, since the LHC primarily determines three out of four normalized couplings, it provides weaker constraints for the underlying gauge structure.Comment: 14 pages LaTeX using RevTeX and psfig.sty. TeX source and 3 PS figures, tarred, compressed and uuencoded; also available via anonymous ftp to ftp://dept.physics.upenn.edu/pub/Cvetic/UPR-636-T

Discrete regularisation of localised kinetic terms

We investigate the behaviour of 5d models with general brane kinetic terms by discretising the extra dimension. We show that in the continuum limit the Kaluza-Klein masses and wave functions are in general nonanalytic in the coefficients of brane terms.Comment: Presented at the 7th DESY Workshop on Elementary Particle Theory ``Loops and Legs in Quantum Field Theory'', Zinnowitz, April 25-30, 200

Parton-Parton Elastic Scattering and Rapidity Gaps at SSC and LHC Energies

The theory of the perturbative pomeron, due to Lipatov and collaborators, is used to compute the probability of observing parton-parton elastic scattering and rapidity gaps between jets in hadron collisions at SSC and LHC energies.Comment: 7 page

Inspiration and Inerrancy in Scripture

Inspiration in Qur\u27anic revelation is quite different from the Catholic understanding. The incarnational principle through which the human faculties of the inspired writer are active in the very mode of receptivity seems to be understood differently by Muslims. Differences in understanding how the God who speaks is known by his creatures can lead to invaluable dialogue and mutual understanding for both of our Abrahamic traditions

The Implications of ‘Religious Experience’ for Catholic-Pentecosotal Dialogue: A Catholic Perspective

Pentecostals consider the experience of the Holy Spirit to be at the heart of their movement. In dialogue with Pentecostals, Catholics are challenged to probe the resources of Christian experience for the theological enterprise. After examining different paradigms for the understanding of religious experience, this essay traces the transition that has occurred in Catholic theology allowing for experience in neo-scholasticism and traditional forms of Catholic spirituality to be placed in a more constructive role in the theologies of Karl Rahner and Hans Urs von Balthasar. The essay concludes by describing the opportunity that the turn to experience affords for Catholic-Pentecostal dialogue