Quantum Gravity and Computer Symbolic Manipulation (Physics)
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Computer symbolic manipulation systems will be developed to            treat many of the most interesting tensorial problems that appear               in higher-dimensional, higher-loop and higher-order theories of                 gravity.  Using the extremely powerful microprocessor-based                     scientific work-stations (with speeds that rival supercomputers                 for some applications), current symbolic manipulation languages                 will be extended and supplemented to perform very detailed                      computations in quantum gravity and related theories.  As one                   example, "symbol crunching" will be applied to the study of the                 so-called heat kernel techniques for computing important                        mathematical structures like trace and axial anomalies, effective               action counterterms, Green's functions, index theorems, stress                  tensors and other related objects.  Such computations, which must               be done with perfect accuracy, are possible only with high-speed                computers armed with special software beyond any that currently                 exists in any symbolic manipulation system.  Artificial                         intelligence techniques may have to be applied to help the                      physicist with the analysis of the possible routes toward                       simplification of the very large expressions that result.
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[{'Code': '1244', 'Text': 'Gravity Theory'}, {'Code': '9145', 'Text': 'SPECIAL PROGRAMS-RESERVE'}]
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